Conversion of Fractions to Decimals

 

All fractions can be converted to decimals. The decimal forms of rational numbers either have an end or repeat a pattern. To convert fractions to decimals we need to divide the numerator by the denominator and if the division doesn’t come out evenly, we can stop after a certain number of decimal places and round off the decimal.

Following steps are used to convert fractions to decimals:

  1. If the fraction is a mixed number, change it to an improper fraction.
  2. Divide the numerator by the denominator.
  3. If the division doesn’t come out evenly, round off the decimal.

Here are some examples:

The fraction 1/4: Divide 1 by 4, and you end up with the decimal .25.

image0.png

The fraction 15/8: Divide 15 by 8, and you end up with the decimal 1.875.

image0.png

Let us consider the below example where the division does not end evenly.

When we divide 5/9 , we get the decimal .555…. we can choose to round off to three decimal places, and we will get an approximate answer, .556.

image0.png