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To convert fractions to decimals, look at the fraction as a division problem. Take the top number, or the numerator, of the fraction and divide it by the bottom number, or the denominator. You can do this in your head, by using a calculator, or by doing long division. For example, ¼ is just 1 divided by 4, or 0.25.
How do we convert a fraction to a decimal?
Yet another method you may like is to follow these steps:
- Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
- Multiply both top and bottom by that number.
- Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom ...
What is the formula for converting fractions to decimals?
This calculator is easy to use, follow the steps below, they are not long:
- Decide on a fraction form. ...
- In the fraction to decimal calculator, enter the top portion of your fraction in the “numerator” box and the bottom part in the “denominator” field. ...
- In the fourth parameter of the fraction to decimal converter, you may choose how many decimal places you wish to round the output to. ...
How to make a fraction to a decimal?
Fractions can be converted into decimals by division. This method works for converting any fraction to a decimal: Divide the numerator by the denominator.
How is a fraction converted to a decimal?
How do I convert a decimal to a fraction?
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
What is 0.01234567901 as a fraction?
In fraction form, 0.01234567901 can be expressed as 1234567901100,000,000,000 1234567901 100 , 000 , 000 , 000 .
What's 0.625 as a fraction?
5/8Answer: 0.625 as a fraction is 625/100 which can be reduced to 5/8.
What is 0.375 as a fraction?
3 / 8Answer: 0.375 expressed as a fraction in simplest form is equal to 3 / 8. Let's look into the solution in detail. Explanation: 0.375 has three numbers after the decimal so, we will multiply and divide 0.375 by 1000.
What is 0.5 as a fraction?
1/2Answer: 0.5 as a fraction is written as 1/2 Let us see how to convert a decimal number into a fraction.
What is 1.2 as a fraction?
6/5Answer: 1.2 as a fraction is 6/5. The number of digits after the decimal is 1.
What is 0.45 as a fraction?
920We drop the decimal and write the number 45 as the numerator of a fraction. Step 4: So, 0.45=920 as a proper fraction in simplest form.
What is 0.35 as a fraction?
7/20Answer: 0.35 as a fraction is 7/20.
What is 0.08 as a fraction?
The decimal 0.08 can be written as the fraction 8/100 or, in simplest form, 2/25.
How do you turn 37.5 into a fraction?
2. What is 37.5% in the fraction form? 37.5% in the fraction form is 37.5/100. If you want you can simplify it further as 3/8.
What is .3 as a fraction?
Decimal to fraction conversion tableDecimalFraction0.285714292/70.33/100.333333331/30.3753/845 more rows
What is 6875 as a fraction?
11/16FRACTIONSINCHESMILLIMETERS11/16.687517.46345/64.70312517.85923/32.7187518.25647/64.73437518.65328 more rows
How to convert a decimal to a fraction
Some decimals are familiar to us, so we can instantly see them as fractions (0.5 is 1/2, for example). But what of other less obvious decimals - how can you calculate what 0.45, 0.62 or 0.384 is as a fraction, for example? Here's how...
Why use this decimal to fraction calculator?
Use this converter to check your calculation answers or to get help with figuring out the methodology behind converting a decimal number to a fraction. As well as providing a result for your calculation, we also show you how the answer was achieved.
Other math and education calculators
The Calculator Site features a number of popular math and education calculators. If you need to add, subtract, multiply, divide or simplify fractions, you can use our fractions calculator. Alternatively, you may be at university and need to calculate your weighted grade. You can use our uni grade calculator for this.
How to turn decimals into fractions?
The first step in transforming a decimal to a fraction is creating a starting fraction with the decimal as the top number and 1 as the bottom number. For example, to convert .75 to a fraction, start by making a fraction with .75 as the numerator and 1 as the denominator. .75 = .75 1.
How to eliminate decimal place?
The next step is to multiply the numerator and the denominator by 10 to eliminate the decimal place. Continue multiplying both by 10 until the numerator is a whole number.
What is repeating decimal?
A repeating decimal is a decimal number that continues infinitely, such as 1.1787878. These numbers are usually expressed in a rounded form, such as .788, or with an over-bar like this: 1.1 78 .
How to multiply a number with multiple repeating numbers?
If there are multiple repeating numbers that repeat in a pattern, then multiply by 10 until the repeating pattern is on the left side of the decimal point. Continuing the example above, let’s multiply both sides of the equation by 10 until the repeating “78” part of the decimal is on the left side of the decimal point.
How to convert decimals to fractions?
It does however require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to , use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place which constitutes 10 4, or 10,000. This would make the fraction#N#1234#N##N#10000#N#, which simplifies to#N#617#N##N#5000#N#, since the greatest common factor between the numerator and denominator is 2.
What is fraction in math?
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction. 3.
How to find common denominator of fractions?
One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.
Why do we multiply all the denominators?
Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole.
How to divide fractions?
In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply. . When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction.
Is it easier to work with simplified fractions?
It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.#N#220#N##N#440#N#for example, is more cumbersome than#N#1#N##N#2#N#. The calculator provided returns fraction inputs in both improper fraction form, as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.
Is fraction subtraction the same as fraction addition?
Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification.
Calculator Use
Convert a fraction to a decimal. Convert proper and improper fractions to decimals. Convert a ratio to a decimal. This calculator shows the steps and work to convert a fraction to a decimal number.
How to Convert a Fraction to a Decimal
In a fraction, the fraction bar means "divided by." So to find the decimal equivalent of a fraction like 1/4 you need to solve the math problem: 1 divided by 4. 1 ÷ 4 = 0.25
How to Turn a Fraction into a Division Problem
Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket.
Related Calculators
You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division.
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Introducing the world’s first Fraction Calculator packed with additional functions like reducing or simplifying fractions, fractions-to-decimals and a decimals-to-fractions calculator. All these in one nifty app. Discover an easy way to solve everyday fraction problems.
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