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why do we multiply by the reciprocal when dividing fractions

by Russ Breitenberg Published 3 years ago Updated 2 years ago

Moreover, why do we multiply the reciprocal in dividing fractions? The goal is to make the division expression look like just one number, perhaps a fraction or mixed number, but, still just one number.

In this case, students discover that multiplying by the reciprocal is the equivalent of getting the common denominator and dividing the numerators.Mar 2, 2015

Full Answer

How do you divide fractions in simplest form?

  • Write down the factors for the numerator and the denominator
  • Determine the largest factor that is common between the two
  • Divide the numerator and denominator by the greatest common factor
  • Write down the reduced fraction

How do you divide fractions on a calculator?

Dividing fractions by whole numbers multiply the bottom number of the fraction by the whole number. Multiply the bottom number of the fraction by the whole number ; This calculator divides two fractions. The answer is provided in a reduced fraction and a mixed number if it exists.

How to divide fractions on a calculator?

  • The first fraction is left as it is; A / B
  • We take the reciprocal or the inverse of the second fraction. ...
  • Multiply the numerators of the first fraction and the reciprocal of the second fraction (A × D). ...
  • Multiply the denominators of the two fractions (B × C). ...
  • Simplify the fraction. ...

More items...

How do you calculate a whole number with a fraction?

  • Press the whole number button if your fraction has a whole number or you can directly press the numerator button if you don’t need whole number. ...
  • Press denominator button for your denominator. ...
  • Select any operation you want.
  • Press Equal button if you are done with your fraction. ...
  • Press Backspace if you want to delete one number at a time.

More items...

Why do we use reciprocal in dividing fractions?

Why do you use reciprocal when dividing fractions? To simplify the division process when dividing fractions, reciprocals are used so that division will be converted to multiplication. For example, (4/5) ÷ (8/7) can be written as (4/5) × (7/8).

Why does multiplying by the reciprocal work with fractions?

The goal is to make the division expression look like just one number, perhaps a fraction or mixed number, but, still just one number. Multiplying by the reciprocal and multiplying by 1 result in "the product of the first fraction and the reciprocal of the second" -- "copy the first, then, invert and multiply."

Why do we use reciprocals?

A number's reciprocal is the upside down version of that number when it's written as a fraction. Another name for reciprocal is multiplicative inverse. Reciprocals are really helpful when it comes to dividing fractions. We can use reciprocals to turn fraction division into fraction multiplication.

How do you divide fractions with reciprocals?

0:196:37Dividing Fractions Using Reciprocals - YouTubeYouTubeStart of suggested clipEnd of suggested clipMeans you gotta flip the numerator in the denominator. So. If I gave you two thirds. And I said findMoreMeans you gotta flip the numerator in the denominator. So. If I gave you two thirds. And I said find the reciprocal. You're gonna turn that into three over two which is pronounced as three halves.

What does reciprocal mean in fractions?

Explanation: The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The opposite reciprocal takes the negative of that number.

I want to RE-LEARN

My high school teachers never taught any of the subjects in depth, especially maths. Now that i have graduated from high school this year, i got 58/100 in maths. Don't get me wrong, i love studying maths ; and these scores are a result of superficial knowledge given by my teachers.

I'm struggling to learn abstract algebra. Desperate for an advice!

Those post is gonna be long so please have patience 🙏🏻🙏🏻 I'll kinda vent now. I don't think it's appropriate here and now to vent but I don't know where to express my fear of this subject other than this group.

God help me

I have the question 'A writer has discovered that she has written 325,000,000,000,000,000 words in her new book. Convert this figure to standard form, SHOW YOUR WORKINGS.' (3 marks) In my TMA. Please help me 😿

Workbook Problem Recommendations for degree holder

I have my bachelors in pure math and masters in statistics but lately have been wanting to just work through some algebra or calculus problems as a way to not lose all my skills and also for something relaxing to do in my downtime.

What is fraction in math?

All a fraction really is is just a number divided by another number. When you divide by a fraction, you’re therefore dividing by division, which cancels out to leave behind a multiplication problem instead - similar to how subtracting negative numbers is the same as adding positive numbers.

What does 1/4 mean in math?

Now, consider the fraction “ 1/4”. Multiplying a number “ 1/4” is the same as taking one quarter of it. So, what does it mean to DIVIDE a number “ 1/4” ? DIVIDING is the inverse (opposite) of MULTIPLYING, so it makes sense that DIVIDING by some fraction. is the same as MULTIPLYING by the INVERSE of the same fraction.

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