# How do you simplify 9 - 3(2 + 6) ÷ 6 - 2 times 5 using PEMDAS?

Apr 14, 2018

$3.75$

#### Explanation:

Step 1:
The equation can be split into two parts:
i) $9 - 3 \left(2 + 6\right)$
and
ii) $6 - 2 \times 5$

PEMDAS tells us multiply first then add then subtract

Step 2 :
Equation 1 becomes:
We will leave the $9$ out
$- 3 \times \left(2 + 6\right)$ (Note the negative sign in front of the $3$)

This equals $- 6 + - 18$ which is $- 24$

Next we bring the $9$ back to get $9 - 24$ which is $- 15$

Step 3:
Equation 2 becomes:

This time we leave the $6$ out:
We are left with $- 2 \times 5$ (Note the $2$ is negative)
This gets us $- 10$

Bring back the $6$ to get us $6 - 10$ which is $- 4$

Step 4:
Bring back the divide making the equation:
$\frac{- 15}{-} 4$ which is $3.75$ (The negatives cancel each other out)