# How do you change 7/8 to a decimal and percent?

Apr 1, 2016

$\frac{7}{8} = 0.875$

#### Explanation:

You could long divide, but let's try a different approach.

Since $2$ is a factor of $10$, we have $8 = 2 \times 2 \times 2$ is a factor of $1000$ and $\frac{1000}{8} = 5 \times 5 \times 5 = 125$

Then:

$\frac{7}{8} = \frac{7 \cdot 125}{8 \cdot 125} = \frac{875}{1000} = 0.875$