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

Jul 1, 2016

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

#### Explanation:

There are 2 ways to convert fractions to decimals.

Make an equivalent fraction with a power of 10 as the denominator.

This can only be done with denominators such as:
2, 4, 5, 8, 10, 16, 20, 25, 40, 50 etc., which are factors of $10 , 100 , 1 , 000 , 10 , 000$ and so on.

but not with denominators which are multiples of 3, 7, 11 etc.

$\frac{3 \textcolor{b l u e}{\times 125}}{8 \textcolor{b l u e}{\times 125}} = \frac{375}{1000} = 0.375$

Or divide 3.0000 by 8

$\text{ } 0.3 7 5$
8 ) $\overline{{3.0}^{6} {0}^{4} 0}$