# How do you simplify 2 { (6 – 2 ( 9 – 4) ) /( 5 + 1)} using PEMDAS?

Jan 1, 2018

$- \frac{4}{3}$

#### Explanation:

$\text{using PEMDAS}$

["P-parenthesis (brackets) , E- exponents (powers),"
$\text{M-multiplication , D-division , A-addition ,S- subtraction]}$

$\text{evaluate the contents of the {curly bracket } first}$

$\left(9 - 4\right) = 5 \leftarrow \textcolor{red}{\text{inner bracket}}$

$\Rightarrow 6 - \left(2 \times 5\right) = 6 - 10 = - 4 \leftarrow \textcolor{red}{\text{multiplication}}$

$\Rightarrow - \frac{4}{6} = - \frac{2}{3} \leftarrow \textcolor{red}{\text{division}}$

$\Rightarrow 2 \times - \frac{2}{3} = - \frac{4}{3}$