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# How do you change a fraction into decimal?

Updated: 9/11/2023

Wiki User

12y ago

You can think of a fraction as a division problem; instead of 1/2 it's 1 divided by 2. By using simple long division or a calculator, changing a fraction to a decimal is easy.

ok thanks but can u tell me an answer for 2 over 3 changed into a decimal

Wiki User

13y ago

Abigail Mallory

Lvl 1
2y ago
What if you can't use a calculator?

Wiki User

7y ago

Decimals represent tenths, hundreds, thousandths, and smaller fractions. You hear it when you say that 0.6 is "six tenths" (6/10) or that 0.35 is "thirty-five hundredths."

Write out your decimal value as the numerator. Count the number of places after the decimal point, and make the value of 10 that has the same number of zeroes your denominator.

Examples:

For 0.6 the numerator is 6

There is one place after the decimal, so with one zero, the denominator is 10.

The fraction becomes 6/10, reducible to 3/5

For 0.06, the 6 is again the numerator, but we have two places after the decimal, so the denominator has to have two zeroes, the value being 100.

The fraction is 6/100, reducible to 3/50 or three fiftieths.

For 0.10256, the numerator is 10256

The denominator will have 5 zeroes.

The fraction becomes 10256/100000 which reduces (divide top and bottom by 16) to 641/6250 - make the division to check your answer.

For mixed numbers, such as 2.25, leave the 2 alone and just convert the decimal.

2.25 = 2 and 25/100 = 2 1/4

1.5 = 1 1/2 or 3/2

Repeating Decimals

A repeating decimal is a little more involved. You don't see all of the number so you can't make a numerator, but you can still make a fraction. It's easier with an example:

Let X = 0.090909.... (repeating 09) With 2 repeating digits, multiply both sides by 100 [with n repeating digits, multiply by 10^n, so 10^2 = 100]

So 100X = 9.090909...., now subtract the two equations:

100X - X = (9.090909....) - (0.090909....) = 9 {by multiplying by 10^2, the repeating digits line up and 'cancel out'}

99X = 9 --> X = 9/99 = 1/11.

You can divide 1 by 11 and check that it equals 0.0909...

Another example:

0.8333... {the 3 repeats, 1 digit so multiply by 10^1 = 10}

X = 0.8333... 10X = 8.3333... ; 10X - X = 8.3333... - 0.8333... = 7.5 ;

9X = 7.5 --> 18X = 15 --> X = 15/18 = 5/6.

Wiki User

8y ago
Changing Fraction to DecimalTo change a fraction to a decimal you divide the numerator (top number) by the denominator (bottom number). If your answer is very long, or repeating, you have to decide how many decimal places you want to show.

Examples:

For the fraction 1/2, you would divide the numerator (1) by the denominator (2) and the answer turns out to be a decimal, exactly 0.5

For 5/8, the decimal is exactly 0.625

For 1/3, the decimal repeats, so it could be 0.33 or 0.3333 (repeats infinitely).

Wiki User

12y ago

If the number is lower than 100, put it over 100 and reduce. If the number is lower than 1000, put it over 1000 and reduce...and so on

or you can follow these to different ways to do it.

Method 1:write the decimal using its place value, then simplify.

Method 2:write the numbers in the decimal as the numerator. for the denominator put a 1, and then add a zero for each number to the right of the denominator. finally simplify.

Example:

change 0.85 into a fraction. 0.85 = 85/100

Wiki User

12y ago

if the decimal is 0.2 then you do 0.2 ~100

Wiki User

11y ago

Divide the numerator by the denominator. The quotient

is the decimal equivalent of the fraction.

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a fraction is a decimal how is because u can change a decimal into a fraction and u can change a fraction into a decimal if u still have troble with the answer ask a teacher or a math freek btw donate to the children hospite save a live by helping plze thanks

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