How would I change a decimal like 0.167 into a fraction?

Mar 31, 2016

They can be put into a fraction form by using the place of the decimal to determine the denominator.

Explanation:

1. Check the place of the decimal to determine the bottom number of the fraction.
For 0.167, the decimal goes into the thousandths place, so the number on the bottom is 1,000. Remove the decimal point and use the remaining number as the top number of the fraction, like 167.

$\frac{167}{1000}$

1. Simplify the fraction.
It is important to reduce the fraction as much as possible. To do this, we can find the least common denominator of both numbers. In this case, 167 is prime, so the number cannot be reduced.