Question

Write the decimal as a fraction or mixed number in simplest form: $-0.312$

Answer 1

Step 1: To convert it into fraction form replace the decimal point with 1000 as the denominator.

$-0.312=-\frac{312}{1000}$

Step 2: To convert it into the simplest form cancel out the common factors of 312 & 1000.

$-\frac{312}{1000}=-\frac{8\times 39}{8\times 125}=-\frac{39}{125}$.

Hence, the simplest form is $-\frac{39}{125}$.