Receiving Helpdesk

what is the difference between unit and non unit fractions

by Marcella Stiedemann Published 3 years ago Updated 2 years ago

A unit fraction is a fraction with 1 as the numerator. While a non-unit fraction has a numerator other than 1. Examples of unit fractions are 1/2, 1/3, 1/4, etc. Examples of non-unit fractions are 2/3, 4/9, 12/15, etc.

A unit fraction is one part of a whole (the numerator is always 1). Examples of unit fractions include ½, 1⁄7 or 1⁄376. A non-unit fraction is a fraction with a numerator (top number) greater than 1.

Full Answer

What number cannot be written as a fraction?

What numbers Cannot be written as a fraction? Real Numbers: Irrational Irrational Numbers: Any real number that cannot be written in fraction form is an irrational number. These numbers include non-terminating, non-repeating decimals, for example , 0.45445544455544445555…, or . Any square root that is not a perfect root is an irrational number.

What is negative .1 as a fraction?

– The negative of a number can be created by multiplying the number by negative one. These principles apply to fractions as well, so: Placing the negative sign before the entire fraction (subtracting the fraction) is equivalent to adding the same fraction, but with a negative numerator. But this is not the only option…

What are facts about fractions?

Key Facts & Information

  • INTRODUCING FRACTIONS. ...
  • EQUIVALENT FRACTIONS. ...
  • FRACTIONS ON A NUMBER LINE. ...
  • COMPARING FRACTIONS: USING MODELS. ...
  • COMPARING FRACTIONS: USING NUMBER LINES. ...
  • COMPARING FRACTIONS WITH LIKE DENOMINATORS. ...
  • COMPARING FRACTIONS WITH LIKE NUMERATORS. ...
  • Complete List Of Included Worksheets
  • Link/cite this page. ...

Is every unit fraction a proper fraction?

‘1/1’ is not a proper fraction, but it is a unit fraction. Therefore, all unit fractions cannot be called proper fractions. Originally Answered: Are all unit fractions proper fractions?

What is a non-unit fractions?

A non-unit fraction is a fraction where the numerator is not 1, eg ⅘. Mixed fractions are a mix of whole numbers and a fraction together, eg 1 ¼.

What is a unit fraction?

A unit fraction is any fraction with 1 as its numerator (top number), and a whole number for the denominator (bottom number).

What is the difference between unit form and fraction form?

6:1712:17Unit form & Fraction form | Math Module 5 Lesson 5 - YouTubeYouTubeStart of suggested clipEnd of suggested clipEach part is one half what fraction is shaded one half this is the unit fraction because theMoreEach part is one half what fraction is shaded one half this is the unit fraction because the numerator is one I'm taking one of the parts I divided the whole.

What are unit and non-unit fractions 3?

Unit means one whereas non-unit is any number apart from one. For example, 1/2 is a unit fraction and 3/4 is a non-unit fraction.

What is a unit fraction of 3 4?

For example, 3/4 is a non-unit fraction, because three is the numerator.

What is a unit fraction in 3rd grade math?

0:022:33Grade 3 Math #8.3, What is a Unit Fraction - YouTubeYouTubeStart of suggested clipEnd of suggested clipIt's a fraction of something it's the little part of the big thing the top number is called theMoreIt's a fraction of something it's the little part of the big thing the top number is called the numerator.

What is the unit fraction of 2 4?

1/2Unit Fractions Examples Out of these fractions, only 2/4 can be reduced to a unit fraction, as 2/4 = 1/2.

What are the different types of fractions?

The six kinds of fractions are, proper fractions, improper fractions, mixed fractions, like fractions, unlike fractions and equivalent fractions.

Why are unit fractions important?

You can think of a unit fraction as a base or a starting point. It is important that students know what unit they are working with. Math as a Second Language proposes that when students know what unit they are working with they will have an easier time understanding the concept.

How do you find non-unit fractions?

0:524:51Find a non-unit fraction of a number | Fractions | Year 4 - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we can start by dividing 24 by 6 so divide denominator that gives us 4 because 4 times 6 is 24.MoreSo we can start by dividing 24 by 6 so divide denominator that gives us 4 because 4 times 6 is 24. But then we need to take that four and times top so multiply by the numerator.

How do you teach non-unit fractions?

Teaching points Teaching point 2: Non-unit fractions are written using the same convention as unit fractions. A non-unit fraction has a numerator greater than one. Teaching point 3: When the numerator and the denominator in a fraction are the same, the fraction is equivalent to one whole.

How do you divide non-unit fractions?

3:534:53Divide whole numbers by non-unit fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clipFive groups of two-thirds. And six groups of two-thirds. Again we still have these extra thirds thatMoreFive groups of two-thirds. And six groups of two-thirds. Again we still have these extra thirds that are not side by side if we combine those thirds we can actually make some more groups.

What is a Unit Fraction?

All the fractions with 1 as the numerator are known as unit fractions. In these fractions, we take only one part of the whole which is divided equally into a finite number of parts. Unit denotes one. Therefore, they are known as unit fractions.

What is Non-Unit Fraction?

Any fraction with a numerator other than 1 is a non-unit fraction. For example, 3/4, 3/8, 2/3, etc are all non-unit fractions. Here, it is important to understand that fractions that can be reduced to 1 in the numerator are also non-unit fractions that can be expressed as a unit fraction after simplification.

Unit Fraction Divided by Whole Number

Dividing unit fractions by whole numbers is done by multiplying the whole number with the denominator of the given fraction. Follow the steps given below to understand the division of a unit fraction by the whole number in detail:

Unit Fractions Examples

Example 1: Write the fraction of the shaded part for each of the given circles, and find which fraction can be represented as a unit fraction?

FAQs on Unit Fraction

A unit fraction is a fraction with 1 as the numerator. While a non-unit fraction has a numerator other than 1. Examples of unit fractions are 1/2, 1/3, 1/4, etc. Examples of non-unit fractions are 2/3, 4/9, 12/15, etc.

Let's learn!

In math, a unit fraction can be defined as a fraction whose numerator is 1.

Let's do it!

Ask your child or 3rd grader to identify unit fraction in things around them, for instance, while serving a piece of cake, ask them what their portion is in fractions. Help them in determining the denominator, if required.

image

Popular Posts:

  • 1. artificial turf soccer field cost
  • 2. are you supposed to wear uggs barefoot
  • 3. what is the difference between chemically defined and chemically complex media
  • 4. better bites do bites where to buy
  • 5. propane tanks at canadian tire
  • 6. what time is longhorn happy hour
  • 7. small yellow bugs on skin
  • 8. walmart photo scanning prices
  • 9. how to reset a bike lock combination
  • 10. what are the examples of closed compound words
    • A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
    Messages9TimelineExceptionsViews7RouteQueries7Models15Livewire0MailsGateSessionRequest
    8.3.21PHP Version2.16sRequest Duration2MBMemory UsageGET {post}Route
    • warninglog[09:51:52] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[09:51:52] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[09:51:52] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
    • warninglog[09:51:52] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[09:51:52] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[09:51:52] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[09:51:52] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[09:51:52] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[09:51:52] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    warning
    • Booting (14.45ms)
    • Application (2.15s)
    • 1 x Application (99.31%)
      2.15s
      1 x Booting (0.67%)
      14.45ms
      7 templates were rendered
      • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
        Params
        0
        post
        1
        postContent
        2
        author
        3
        updated_at
        4
        bing_rich_snippet_text
        5
        bing_rich_snippet_link
        6
        bing_related_keywords
        7
        google_related_keywords
        8
        bing_news_title
        9
        bing_news_description
        10
        bing_videos
        11
        bing_images
        12
        bing_search_result_title
        13
        bing_search_result_description
        14
        bing_search_result_url
        15
        bing_paa_questions
        16
        bing_paa_answers
        17
        bing_slider_faq_questions
        18
        bing_slider_faq_answers
        19
        bing_pop_faq_questions
        20
        bing_pop_faq_answers
        21
        bing_tab_faq_questions
        22
        bing_tab_faq_answers
        23
        google_faq_questions
        24
        google_faq_answers
        25
        google_rich_snippet
        26
        google_search_result
        27
        indexedArray
        28
        total_images
        29
        total_videos
        30
        settings
        31
        url_current
        32
        menus
        33
        sidebar
      • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      uri
      GET {post}
      middleware
      web, checkdate
      as
      post.show
      controller
      App\Http\Controllers\Frontend\json_data\PostController@show
      namespace
      where
      file
      app/Http/Controllers/Frontend/json_data/PostController.php:18-166
      7 statements were executed2.13s
      receivinghelpdeskask
      • select * from `posts` where `published_at` <= '2025-06-20 09:51:52' and `slug` = 'what-is-the-difference-between-unit-and-non-unit-fractions' and `posts`.`deleted_at` is null limit 1
        2.77ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
        Metadata
        Bindings
        • 0. 2025-06-20 09:51:52
        • 1. what-is-the-difference-between-unit-and-non-unit-fractions
        Backtrace
        • 15. /app/Providers/RouteServiceProvider.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
        • 19. Route binding:39
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
      • select * from `json_post_contents` where `json_post_contents`.`post_id` = 215340 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
        8.02msmiddleware::checkdate:30receivinghelpdeskask
        Metadata
        Bindings
        • 0. 215340
        • 1. 0
        Backtrace
        • 19. middleware::checkdate:30
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
        • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • select * from `nova_menu_menus` where `slug` = 'header' limit 1
        430μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
        Metadata
        Bindings
        • 0. header
        Backtrace
        • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
        410μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
        520μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Backtrace
        • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
        2.12s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
        Metadata
        Bindings
        • 0. publish
        Backtrace
        • 14. /app/View/Composers/SidebarView.php:22
        • 15. /app/View/Composers/SidebarView.php:12
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `fake_users` where `fake_users`.`id` = 38315 limit 1
        530μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
        Metadata
        Bindings
        • 0. 38315
        Backtrace
        • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\FakeUser
      1
      Outl1ne\MenuBuilder\Models\MenuItem
      1
      Outl1ne\MenuBuilder\Models\Menu
      1
      App\Models\JsonPostContent
      1
      App\Models\Post
      11
          _token
          gI9KIh525Za6YEQWMM2zmpu5xndFoa1ekTVs6Bqv
          _previous
          array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-difference-between-unit-and-non-...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /what-is-the-difference-between-unit-and-non-unit-fractions
          status_code
          200
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          request_request
          []
          request_headers
            0 of 0   
          array:25 [▼
  "cookie" => array:1 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ino4dC9HbWo4TzErMkQrNTQzaW0yNWc9PSIsInZhbHVlIjoiMXZNQmtmSm9PSVU5cHl6YWgxdC9uZWJYQm81QlNqQmk4aWFVazE4OC9BOW5ZYVZ4VGpjNjZ3aThlMUFOdUlsL21HcjdjOWlrQlYrRVRpYWl4R2lXek5nTVo5OW52QStNZlhMWHR6TkE2dWdMdUhsOExnMFJLeEhXdWxkVTlvZkIiLCJtYWMiOiI1NzVlNDA2ZmY4NTQ2NDc5YjJjZmU0N2Q3NjkwNTA0MGY2MzlkZjJlMzUzYzA5MjEwYzgxZTVmMzZkYjhlZjVlIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IjZTZndNMFlIWURxaTRQcjA5SnVFS0E9PSIsInZhbHVlIjoiWXYyK1l2SUxoT0xJVU9zNGhtakRiWXFvc1ArckJVdXdiUU9FazlUL1Ruc2hjNmJZQmdGZm9MREI2THhRNy95aTIyR3d3NW9IY2tNblk1dDJxQzVNS2VVRTlhMFByQ2h5VnV2amx3OWNVamdvbjFIbHBrVWdBT0hpWWMybGdjRFkiLCJtYWMiOiIwOGNlMWYzMWJmNDUzZWJkMGY2YTVmMjlhYjcxMzc0NDFjZDUxYmIyZjViNjNmY2U2ODJlYTA2YmEyNDYwMzA5IiwidGFnIjoiIn0%3D; _pk_id.64.7c30=4ea5584da4a86227.1750393310.; _pk_ses.64.7c30=1 ◀XSRF-TOKEN=eyJpdiI6Ino4dC9HbWo4TzErMkQrNTQzaW0yNWc9PSIsInZhbHVlIjoiMXZNQmtmSm9PSVU5cHl6YWgxdC9uZWJYQm81QlNqQmk4aWFVazE4OC9BOW5ZYVZ4VGpjNjZ3aThlMUFOdUlsL21HcjdjO ▶"
  ]
  "cf-ipcountry" => array:1 [▶
    0 => "US"
  ]
  "cf-connecting-ip" => array:1 [▶
    0 => "216.73.216.169"
  ]
  "cdn-loop" => array:1 [▶
    0 => "cloudflare; loops=1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, br"
  ]
  "cf-ray" => array:1 [▶
    0 => "95287b5a2bf389f4-ORD"
  ]
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "cf-visitor" => array:1 [▶
    0 => "{"scheme":"https"}"
  ]
  "connection" => array:1 [▶
    0 => "close"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "216.73.216.169, 108.162.216.61"
  ]
  "x-server-addr" => array:1 [▶
    0 => "154.12.239.204"
  ]
  "host" => array:1 [▶
    0 => "receivinghelpdesk.com"
  ]
]
          request_server
            0 of 0   
          array:56 [▼
  "USER" => "runcloud"
  "HOME" => "/home/runcloud"
  "SCRIPT_NAME" => "/ask/index.php"
  "REQUEST_URI" => "/ask/what-is-the-difference-between-unit-and-non-unit-fractions"
  "QUERY_STRING" => ""
  "REQUEST_METHOD" => "GET"
  "SERVER_PROTOCOL" => "HTTP/1.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "REDIRECT_URL" => "/ask/what-is-the-difference-between-unit-and-non-unit-fractions"
  "REMOTE_PORT" => "50728"
  "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php"
  "SERVER_ADMIN" => "you@example.com"
  "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "CONTEXT_PREFIX" => ""
  "REQUEST_SCHEME" => "http"
  "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "REMOTE_ADDR" => "108.162.216.61"
  "SERVER_PORT" => "80"
  "SERVER_ADDR" => "127.0.0.1"
  "SERVER_NAME" => "receivinghelpdesk.com"
  "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f"
  "SERVER_SIGNATURE" => ""
  "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib"
  "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin"
  "HTTP_COOKIE" => "XSRF-TOKEN=eyJpdiI6Ino4dC9HbWo4TzErMkQrNTQzaW0yNWc9PSIsInZhbHVlIjoiMXZNQmtmSm9PSVU5cHl6YWgxdC9uZWJYQm81QlNqQmk4aWFVazE4OC9BOW5ZYVZ4VGpjNjZ3aThlMUFOdUlsL21HcjdjOWlrQlYrRVRpYWl4R2lXek5nTVo5OW52QStNZlhMWHR6TkE2dWdMdUhsOExnMFJLeEhXdWxkVTlvZkIiLCJtYWMiOiI1NzVlNDA2ZmY4NTQ2NDc5YjJjZmU0N2Q3NjkwNTA0MGY2MzlkZjJlMzUzYzA5MjEwYzgxZTVmMzZkYjhlZjVlIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IjZTZndNMFlIWURxaTRQcjA5SnVFS0E9PSIsInZhbHVlIjoiWXYyK1l2SUxoT0xJVU9zNGhtakRiWXFvc1ArckJVdXdiUU9FazlUL1Ruc2hjNmJZQmdGZm9MREI2THhRNy95aTIyR3d3NW9IY2tNblk1dDJxQzVNS2VVRTlhMFByQ2h5VnV2amx3OWNVamdvbjFIbHBrVWdBT0hpWWMybGdjRFkiLCJtYWMiOiIwOGNlMWYzMWJmNDUzZWJkMGY2YTVmMjlhYjcxMzc0NDFjZDUxYmIyZjViNjNmY2U2ODJlYTA2YmEyNDYwMzA5IiwidGFnIjoiIn0%3D; _pk_id.64.7c30=4ea5584da4a86227.1750393310.; _pk_ses.64.7c30=1 ◀XSRF-TOKEN=eyJpdiI6Ino4dC9HbWo4TzErMkQrNTQzaW0yNWc9PSIsInZhbHVlIjoiMXZNQmtmSm9PSVU5cHl6YWgxdC9uZWJYQm81QlNqQmk4aWFVazE4OC9BOW5ZYVZ4VGpjNjZ3aThlMUFOdUlsL21HcjdjO ▶"
  "HTTP_CF_IPCOUNTRY" => "US"
  "HTTP_CF_CONNECTING_IP" => "216.73.216.169"
  "HTTP_CDN_LOOP" => "cloudflare; loops=1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_SEC_FETCH_SITE" => "none"
  "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  "HTTP_UPGRADE_INSECURE_REQUESTS" => "1"
  "HTTP_SEC_CH_UA_PLATFORM" => ""Windows""
  "HTTP_SEC_CH_UA_MOBILE" => "?0"
  "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  "HTTP_CACHE_CONTROL" => "no-cache"
  "HTTP_PRAGMA" => "no-cache"
  "HTTP_ACCEPT_ENCODING" => "gzip, br"
  "HTTP_CF_RAY" => "95287b5a2bf389f4-ORD"
  "HTTP_PRIORITY" => "u=0, i"
  "HTTP_SEC_FETCH_DEST" => "document"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_CF_VISITOR" => "{"scheme":"https"}"
  "HTTP_CONNECTION" => "close"
  "HTTP_X_FORWARDED_PROTO" => "https"
  "HTTP_X_FORWARDED_FOR" => "216.73.216.169, 108.162.216.61"
  "HTTP_X_SERVER_ADDR" => "154.12.239.204"
  "HTTP_HOST" => "receivinghelpdesk.com"
  "HTTPS" => "on"
  "REDIRECT_STATUS" => "200"
  "REDIRECT_HTTPS" => "on"
  "FCGI_ROLE" => "RESPONDER"
  "PHP_SELF" => "/ask/index.php"
  "REQUEST_TIME_FLOAT" => 1750393312.3606
  "REQUEST_TIME" => 1750393312
]
          request_cookies
            0 of 0   
          array:4 [▼
  "XSRF-TOKEN" => "gI9KIh525Za6YEQWMM2zmpu5xndFoa1ekTVs6Bqv"
  "askhelpdesk_session" => "JuTslpRjnTTi7KSdaBDY94LoayByODybd44kxYCL"
  "_pk_id_64_7c30" => null
  "_pk_ses_64_7c30" => null
]
          response_headers
            0 of 0   
          array:7 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "private, must-revalidate"
  ]
  "date" => array:1 [▶
    0 => "Fri, 20 Jun 2025 04:21:52 GMT"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "expires" => array:1 [▶
    0 => -1
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IlhYQjJhb2pMN2VQWjFpUHd4KzQrT0E9PSIsInZhbHVlIjoiQVBmaXEzS25OTDlPSVNXdUgyT1pocVM4cXZMM1VYcytYai9Xd2lhSDgrUkU2amwybndiK0JRb1kxaXVVQTJUeUtRUWRZN1NZdEhMRG9LODNjYVFlMmEwdzNjejhEc1ErYjREekNoa3g3Nk1KOW5DNHhkTmFRVHVwOFk1Q1dCc3AiLCJtYWMiOiJhMzAyMzg0ZGEwZjdhNjgxNGI2NTkzMmIyZmMxZDEyYjM2YzgxMTdkNmQ3N2ExZTdhZDE0ZDUyOWE1Y2UxMGFhIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 06:21:54 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IlhYQjJhb2pMN2VQWjFpUHd4KzQrT0E9PSIsInZhbHVlIjoiQVBmaXEzS25OTDlPSVNXdUgyT1pocVM4cXZMM1VYcytYai9Xd2lhSDgrUkU2amwybndiK0JRb1kxaXVVQTJUeUtRUWRZN ▶"
    1 => "askhelpdesk_session=eyJpdiI6IkMwTTlKNUN4dXUzc05tbFlKd09ITHc9PSIsInZhbHVlIjoiMnBsZWFiYWhORlpnL29icVhYSmlubzMzeGwyNytTZ0pOV0ErUmwvaGNJZVhaMzRVNDR0bWcvN29JLzRjdkZmdGQwTDZDTW52Ukl5VFZtTmlpVTVTSWNQYTJzeEtFYjJuMmUxQUdRSlZ2djlEWkEvWm5PcWJUS0tQWHRlOUZLUTAiLCJtYWMiOiI2YjkzNTg0NDM1Y2I2ZjI2MjEwNjlkOGIxMDNiMTMxNzAyZWJmMWExZmYzMDdmZDcwMTdkOGE4ODU4MTg0MTAyIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 06:21:54 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6IkMwTTlKNUN4dXUzc05tbFlKd09ITHc9PSIsInZhbHVlIjoiMnBsZWFiYWhORlpnL29icVhYSmlubzMzeGwyNytTZ0pOV0ErUmwvaGNJZVhaMzRVNDR0bWcvN29JLzRjdkZm ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IlhYQjJhb2pMN2VQWjFpUHd4KzQrT0E9PSIsInZhbHVlIjoiQVBmaXEzS25OTDlPSVNXdUgyT1pocVM4cXZMM1VYcytYai9Xd2lhSDgrUkU2amwybndiK0JRb1kxaXVVQTJUeUtRUWRZN1NZdEhMRG9LODNjYVFlMmEwdzNjejhEc1ErYjREekNoa3g3Nk1KOW5DNHhkTmFRVHVwOFk1Q1dCc3AiLCJtYWMiOiJhMzAyMzg0ZGEwZjdhNjgxNGI2NTkzMmIyZmMxZDEyYjM2YzgxMTdkNmQ3N2ExZTdhZDE0ZDUyOWE1Y2UxMGFhIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 06:21:54 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6IlhYQjJhb2pMN2VQWjFpUHd4KzQrT0E9PSIsInZhbHVlIjoiQVBmaXEzS25OTDlPSVNXdUgyT1pocVM4cXZMM1VYcytYai9Xd2lhSDgrUkU2amwybndiK0JRb1kxaXVVQTJUeUtRUWRZN ▶"
    1 => "askhelpdesk_session=eyJpdiI6IkMwTTlKNUN4dXUzc05tbFlKd09ITHc9PSIsInZhbHVlIjoiMnBsZWFiYWhORlpnL29icVhYSmlubzMzeGwyNytTZ0pOV0ErUmwvaGNJZVhaMzRVNDR0bWcvN29JLzRjdkZmdGQwTDZDTW52Ukl5VFZtTmlpVTVTSWNQYTJzeEtFYjJuMmUxQUdRSlZ2djlEWkEvWm5PcWJUS0tQWHRlOUZLUTAiLCJtYWMiOiI2YjkzNTg0NDM1Y2I2ZjI2MjEwNjlkOGIxMDNiMTMxNzAyZWJmMWExZmYzMDdmZDcwMTdkOGE4ODU4MTg0MTAyIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 06:21:54 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6IkMwTTlKNUN4dXUzc05tbFlKd09ITHc9PSIsInZhbHVlIjoiMnBsZWFiYWhORlpnL29icVhYSmlubzMzeGwyNytTZ0pOV0ErUmwvaGNJZVhaMzRVNDR0bWcvN29JLzRjdkZm ▶"
  ]
]
          session_attributes
            0 of 0   
          array:4 [▼
  "_token" => "gI9KIh525Za6YEQWMM2zmpu5xndFoa1ekTVs6Bqv"
  "_previous" => array:1 [▶
    "url" => "https://receivinghelpdesk.com/ask/what-is-the-difference-between-unit-and-non-unit-fractions"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]