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.