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

1 Answer
Dec 18, 2016

Expression #=-2#

Explanation:

Expression #=[-75 div 3 + 15]/((11-6))#

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

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

Parenthesis first #-> [-75 div 3 + 15]/5#

We have no Exponentiation, so

Next Division #-> [-25 + 15]/5 #

Then Addition/Subtraction #-> -10/5 = -2#