Question #655fe

1 Answer
Jun 16, 2017

#95/4#

Explanation:

Use PEMDAS:
P - parentheses
E - exponent
M - multiplication / D - division [work from left to right if both division & multiplication are involved]
A - addition / S - subtraction [work from left to right if both addition & subtraction are involved]

PARENTHESES
There are three sets of parentheses; start at the innermost set first, #(5-3)#. Work from the inside to the outside.
Remember to apply PEMDAS when solving things within the parentheses too!
#{2+3{2-2(5-3)+5}-10}#
#{2+3{2-2(2)+5}-10}#
#{2+3{2-4+5}-10}#
#{2+3{-2+5}-10}#
#{2+3(3)-10}#
#(2+9-10)#
#(11-10)#
#1 -> -> -> -> 25-5(1)÷4 = ?#

MULTIPLICATION / DIVISION [There are no exponents, so skip to this step]
Working from left to right, #-5(1)# is first and will be solved first, then #÷4#.
#25-5(1)÷4 = ?#
#25-5÷4 = ?#
#25-5/4 = ?#

ADDITION / SUBTRACTION
To subtract these two values, they need the same denominator. Multiply #25# by #4/4# to have both fractions with #4# as the denominator.
#25-5/4 = ?#
#100/4-5/4 = 95/4#

#95/4# is your final answer since it cannot be simplified further.