# How do you simplify 2(1/10*2 1/4- 3/5) using PEMDAS?

Aug 14, 2016

$- \frac{3}{4}$

#### Explanation:

This is all one term, but there are brackets which we need to simplify first. There are 2 terms inside the bracket.

$2 \left(\textcolor{b l u e}{\frac{1}{10} \cdot 2 \frac{1}{4}} \textcolor{red}{- \frac{3}{5}}\right)$

=$2 \left(\textcolor{b l u e}{\frac{1}{10} \times \frac{9}{4}} \textcolor{red}{- \frac{3}{5}}\right)$

=$2 \left(\textcolor{b l u e}{\frac{9}{40}} \textcolor{red}{- \frac{3}{5}}\right)$

=$2 \times \left(\frac{9 - 24}{40}\right)$

=$2 \times \frac{- 15}{40}$

=$\left(- \frac{15}{20}\right)$

=$- \frac{3}{4}$