How do you convert 5.17 (17 repeating) as a fraction?

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Answer 1 · 2016-02-27T10:30:55

$x=512/99$

There is a trick to this!

Let $x=5.17bar17" "->" for formatting this is used 5.17bar17"$

This decimal repeats every two places so multiply it by 100 (2 zeros)

So $100x=517.17bar17$

So $100x-x=512$

$x(100-1)=512$

$x=512/99$