# How do you write the repeating decimal 0.73 where 73 is repeated as a fraction?

Oct 16, 2016

$\frac{73}{99}$

#### Explanation:

$N = 0.737373 \ldots$ ( equation 1)

Multiply both sides by 100 because 2 digits recur

$100 N = 73.737373 . .$( equation 2)

If we subtract equation 1 from equation 2 we get

$99 N = 73$

So N =$\frac{73}{99}$