Ethan's full backpack weighed too much. He took out a 4/8 pound electronic reader, a 2 ⅛ pound full bottle of water, and a ⅞ pound combination lock. Now the backpack weighs 8 ⅝ pounds. How much did the backpack weigh before Ethan took out the supplies? Number model

Add, subtract, multiply, or divide as indicated. list any restrictions for the variable(s) and simplify the answers when possible. 1) x-2 / x+5 + 3x / 2x-1 2) x+6 / x-6 - x^2 / x+6 3) x+9 / x-4 + x+2 / x^2-11x+28 4) x / x^2-64 + 11 / 2x^2+11x-40 5) 5 / x + 11 / x-3 - x-4 / x^2+2x-15