How do you convert 0.87 (7 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:13:11

$29/33$

We let 0.87 be $x$ .

Since $x$ is recurring in 2 decimal places, we multiply it by 100.

$100x = 87.87$

Next, we subtract them.

$100x - x = 87.87 - 0.87$

$99x = 87$

Lastly, we divide both sides by 99 to get $x$ as a fraction.

$x = 87/99$

$= 29/33$