# How do you evaluate \frac { [ - 75\div 3+ 15] } { ( 11- 6) }?

Dec 18, 2016

Expression $= - 2$

#### Explanation:

Expression $= \frac{- 75 \div 3 + 15}{\left(11 - 6\right)}$

Remember that the hierarchy of arithmetic operators (from first to last) is:

Parentheses, Exponentiation, Multiplication and Division, Addition and Subtraction.

Parenthesis first $\to \frac{- 75 \div 3 + 15}{5}$

We have no Exponentiation, so

Next Division $\to \frac{- 25 + 15}{5}$

Then Addition/Subtraction $\to - \frac{10}{5} = - 2$