What is .54 repeating as a fraction

Mathematics

2 answers:

mestny [16]2 years ago

8 0

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.

tankabanditka [31]2 years ago

7 0

$0.54 \\100 x=54.54 \\-x=-0.54\\ -----\\ 99x=54 \ \ /:99 \\\\x=\frac{54}{99 }\\\\x=\frac{6}{11}$

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