# How do you write as a fraction and simplify 0.125?

Jan 7, 2017

$\frac{1}{8}$

#### Explanation:

The third decimal place is thousandths so as a starting point write this as:

$\frac{125}{1000} \equiv \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}$

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Comment about 1 of many approaches to do with mental arithmetic.

Not that $4 \times 25 = 100$ so think of 125 as $100 + \frac{100}{4}$

$\left(100 + \frac{100}{4}\right) \times 8 = \left(800 + \frac{800}{4}\right) = 800 + 200 = 1000$