# How do you simplify (5/4)(-3/10)?

Feb 17, 2017

In this expression, we have to multiply fractions. This is the general rule you would follow to do so:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

So let's apply the given problem:

$\left(\frac{5}{4}\right) \times \left(- \frac{3}{10}\right) = \frac{5 \cdot - 3}{4 \cdot 10}$

Simplify by multiplying across the numerator and denominator:

$- \frac{15}{40}$

Now simplify the numerator and denominator by dividing out common factors. Both numbers can be divisible by $5$, so let's take that out:

$- \frac{3}{8}$

This cannot be simplified further, thus it is the completely simplified answer.