How do you convert 9.7 (7 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:42:14

$88/9$

We first let 9.7 (7 being repeated) be $x$ .

Since $x$ is recurring in 1 decimal places, we multiply it by 10.

$10x = 97.7$

Next, we subtract them.

$10x - x = 97.7 - 9.7$

$9x = 88$

Lastly, we divide both sides by 9 to get $x$ as a fraction.

$x = 88/9$