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

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Answer 1 · 2016-12-18T01:42:25

Expression #=-2#

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#