How do you convert 1.65 (65 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:38:33

$164/99$

We first let 1.65 be $x$ .

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

$100x = 165.65$

Next, we subtract them.

$100x - x = 165.65 - 1.65$

$99x = 164$

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

$x = 164/99$