# How do you convert 0.7 (7 repeating) to a fraction?

Jun 21, 2016

#### Answer:

$x = \frac{7}{9}$

#### Explanation:

Let $x = 0.777777777777 \ldots \ldots \ldots \ldots$ ...........(A)

then $10 x = 7.7777777777777 \ldots \ldots \ldots \ldots .$ ...........(B)

Subtracting (A) from (B)

$9 x = 7$ and $x = \frac{7}{9}$
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