When a number that is not 0.99999…(etc) repeats, you need to add a digit 9 as to the denominator for every digit on top. For example, 0.2 repeating is 2/9, 0.21 repeating is 21/99, 213 repeating is 213/999, and so on.

You can always test this with a calculator to make sure.

## Answers ( 2 )

[tex]0.54 100 x=54.54 -x=-0.54 —– 99x=54 /:99 x=frac{54}{99 }x=frac{6}{11}[/tex]

0.54 repeating as a fraction is

54/99.When a number that is not 0.99999…(etc) repeats, you need to add a digit 9 as to the denominator for every digit on top. For example, 0.2 repeating is 2/9, 0.21 repeating is 21/99, 213 repeating is 213/999, and so on.

You can always test this with a calculator to make sure.