# How do you simplify 3+(21div7)times 8div 4?

Apr 23, 2017

$3 + 6 = 9$

#### Explanation:

There are 2 terms. You have to simplify the second term to a final answer before adding it to $3$.

$3 + \textcolor{red}{\left(21 \div 7\right)} \times 8 \div 4$

You have to calculate the parentheses first!

$= 3 + \textcolor{red}{3} \times 8 \div 4$

Multiplication and division have the same priority, so it does not matter which is done first. This can be written as:

$3 + \textcolor{b l u e}{\frac{3 \times 8}{4} = \textcolor{b l a c k}{3 +} \frac{24}{4} = \textcolor{b l a c k}{3} + 6 = 9}$

OR

$3 + \textcolor{g r e e n}{\frac{3 \times 8}{4} = \textcolor{b l a c k}{3 +} \frac{3 \times {\cancel{8}}^{2}}{\cancel{4}} = \textcolor{b l a c k}{3 +} 6 = 9}$