# How do you convert 3/8 to a decimal?

Apr 17, 2016

$\frac{3}{8} = 0.375$

#### Explanation:

You can find it by long division, but let's try another way...

Since $8 = 2 \times 2 \times 2$ and $10 = 2 \times 5$, we know that $8$ is a divisor of $1000 = 10 \times 10 \times 10 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 = 8 \times 125$

So:

$\frac{3}{8} = \frac{3 \cdot 125}{8 \cdot 125} = \frac{375}{1000} = 0.375$