How do you evaluate #(20 - (4^2 \div (2+14)) +5)/(4^2 -13)#?

1 Answer
Taha Z.
Sep 13, 2017

8

Explanation:

#((20-(4^2/((2+14))) + 5))/((4^2-13))#

To solve this question, we will have to follow the order of operation rule, which states which operations we go through when solving:

The order is:
1. Grouping (....)
2.Exponents
3.Multiplication/division
4.Addition/subtraction

Back to our equation:
we can start by working in the denominator, and in the middle term of the numerator:
#((20-color(blue)(4^2/((2+14))) + 5))/color(red)((4^2-13))#

In denominator:
#4^2-13=16-13=color(red)(3)#

In numerator:
#4^2/(2+14)=16/16=color(blue)(1)#

Putting values in equation:
#((20-color(blue)(1)+ 5))/color(red)(3)#

Calculating numerator:
#20-1+5=19+5=24#
#rarr 24/3=8#

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