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Fractions/ Decimals

Fractions to Decimals

We can think of a fraction as the result of a division. In general, means the same thing as . You can divide by hand or use a calculator.

Examples

Here we convert fractions to decimals. Click on the question mark to see the next step of the solution.

Exercise

Convert these fractions to decimals. If the answer has a long or repeating decimal, just round to 5 decimal places.

Every fractional number can be converted to a decimal number by division, though some of them may have infinitely many digits.

Example

1/3=0.333333

When a band of digits is repeated indefinitely (such as in ), we underline that band to indicate it is repeated.

Examples

1/3 = 0.3 and 1/11 = 0.09

Here are a table of fractional numbers and their decimal equivalents.

1/2 = 0.5
1/3 = 0.3	2/3 = 0.6
1/4 = 0.25	2/4 = 1/2 = 0.5	3/4 = 0.75
1/5 = 0.2	2/5 = 0.4	3/5 = 0.6	4/5 = 0.8
1/6 = 0.16	2/6 = 1/3 = 0.3	3/6 = 1/2 = 0.5	4/6 = 2/3 = 0.6	5/6 = 0.83
1/7 = 0.142857	2/7 = 0.285714	3/7 = 0.428571	4/7 = 0.571428	5/7 = 0.714285	6/7 = 0.857142
1/8 = 0.125	2/8 = 1/4 = 0.25	3/8 = 0.375	4/8 = 1/2 = 0.5	5/8 = 0.625	6/8 = 3/4 = 0.75	7/8 = 0.875
1/9 = 0.1	2/9 = 0.2	3/9 = 1/3 = 0.3	4/9 = 0.4	5/9 = 0.5	6/9 = 2/3 = 0.6	7/9 = 0.7	8/9 = 0.8

Exercise

Convert each fractional number to its decimal equivalent (you may like to use a calculator). If the decimal is repeating, write your answer in the shortest form using a bar under the repeating band.

Show answers

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