Question

Question #655fe

Answer 1

`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.