Question

Write the decimal as a fraction or mixed number in simplest form: $-0.258$

Answer 1

To convert it in fraction form remove the decimal point with 1000 as denominator.

$-0.258=-\frac{258}{1000}$

To convert it in simplest form remove the common factors of 258 & 1000.

$-\frac{258}{1000}=-\frac{2\times 129}{2\times 500}=-\frac{129}{500}$

Hence, the simplest form is $-\frac{129}{500}$.