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:
- If the fraction is a mixed number, change it to an improper fraction.
- Divide the numerator by the denominator.
- 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.
The fraction 15/8: Divide 15 by 8, and you end up with the decimal 1.875.
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.