# How do you simplify (-1/4)/(3/10)?

Feb 28, 2017

$- \frac{5}{6}$

#### Explanation:

When dividing a fraction by a fraction, you must take the reciprocal of the bottom fraction (flip the fraction in other words) and multiply the fraction across. (See below)

$\frac{- \frac{1}{4}}{\frac{3}{10}}$

Flip $\frac{3}{10}$ so that it becomes $\frac{10}{3}$.

Then, multiply as you would

$\left(\text{numerator " xx " numerator")/("denominator " xx " denominator}\right)$

The setup looks like this:

$\left(- \frac{1}{4}\right) \cdot \left(\frac{10}{3}\right) = - \frac{10}{12}$

You can simplify if required to get $- \frac{5}{6}$ since both $10$ and $12$ are divisible by $2$.