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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

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

### Examples

and

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.