How do you convert 0.7326 (26 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:52:38

$7253/9900$

We first let 0.7326 (26 being repeated) be $x$ .

Since $x$ is recurring in 2 decimal places, we multiply it by $10^2$ .

$100x = 73.2626$

Next, we subtract them.

$100x - x = 73.2626 - 0.7326$

$99x = 72.53$

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

$x = 72.53/99$

$= 7253/9900$