How do you convert fractions to decimals, and decimals to fractions?

Expert Answers
justaguide eNotes educator| Certified Educator

To convert a fraction to a decimal, divide the denominator by the numerator. The result is the value of the fraction in decimal form. If the result has a large number of decimal digits, it can be rounded off to the appropriate accuracy.

For example: 1/2 in decimal form is equal to 0.5 which is the result of dividing 1 by 2. 10/3 on the other hand gives 3.3333... , which goes on forever. The number decimal digits here should be chosen based on the accuracy required.

To convert a decimal to a fraction, remove the decimal point from the decimal number and write it as a whole number divided by ten raised to a power equal to the number of decimal digits. Then simplify the fraction that we get if that is possible to do.

For example to represent 1.25 as a fraction, write 1.25 = 125/10^2 = 125/100. Now simplify 125/100 to get 5/4 as 25 is a common factor in the numerator and denominator.

zumba96 | Student

Then simplify 2/10 -> 1/5

zumba96 | Student

To convert fractions to decimals simply divide the numerator by the denominator. 

To convert decimals into fractions multiply the decimal by 100 and then put it over 100.

Example 1- 3/10 -> 3 divided by 10 = .3

Example 2- .2-> .2 x 100 =20/100 then simplify 

atyourservice | Student

convert fractions to decimals, and decimals to fractions

you convert fractions to decimals by dividing the numerator by the  denominator. 

And you turn decimals into fraction by multiplying the decimal by 100, and putting it over a 100, and simplifying it. For example:

To turn 0.5 into a fraction multiply it by 100 you will end up with 50

put 50 over 100  `(50)/(100)`  find the greatest common factor, which would be 50 as they can both be divided by 50.


`(50)/(100) :- (50)/(50) = 1/2 `

so .5 is `1/2`

delrae86 | Student

I always knew that you divide the numerator by the denominator and you get your decimal. As far as turning a decimal into a fraction, divide the number without the decimal in it by 10 to whatever power the number of digits after the decimal.   Example 3.2 would be 32 divided by 10 which would be 16/5.