Converting Fractions to Decimals

There are instances where fractions need to be converted to decimals. A good example is when you deal with money. It is not appropriate to write `$50``1/2` in bank cheques and ledgers. The right way is to write it as a decimal `$50.50`.

A fraction is a ratio between two integers. Division is the most common and easiest method to convert fractions to decimal form.


 Steps for converting Fractions to Decimals

  •  Use the denominator as the divisor and the numerator as the dividend.
  •  In writing decimals, if there are no non-zero integers in the left of the decimal point, put zero (`0`) before the decimal point.
  •  If the decimal has continuous repeating digits, put an ellipsis (...) after the number or a vinculum ( __ ) on top of the repeating digit/s.

Fraction to Decimal Conversion Examples

Example 1:
 0.31

Explanation:

Using division
`0.31`
`100` `31.00`
  `300`
  `100`
  `100`
  `0`

Therefore, 31/100 is 0.31 in decimal.

Example 2:
 1.75

Explanation:

Using division;
`1.75`
`4` `7.00`
  `4`
  `30`
  `28`
  `20`
  `20`
  `0`

Therefore, 7/4 in decimal is 1.75.

Example 3:
 0.833

Explanation:

Using division;
`0.833`
`6` `5.000`
  `0`
  `50`
  `48`
  `20`
  `18`
  `20`
  `18`
  `2`

Since the digit 3 is continuous as we go along with the division, put either an ellipsis after or a vinculum ( __ ) on top the repeating digit which is 3.

Therefore, the decimal form of 5/6 is 0.833333333