Question

Simplify -7 2/3+(-5 1/2)+8 3/4

Answer 1

Given the expression:

`-7(2)/(3)+(-5(1)/(2))+8(3)/(4)`

First, we open the bracket:

`=-7(2)/(3)-5(1)/(2)+8(3)/(4)`

Next, change each of the fraction to an improper fraction

`=-(23)/(3)-(11)/(2)+(35)/(4)`

We look for the lowest common multiple of the denominators.

LCM of 3, 2 and 4=12

Therefore:

`\begin{gathered} -(23)/(3)-(11)/(2)+(35)/(4)=(-23(4)-11(6)+35(3))/(12) \\ =(-92-66+105)/(12) \\ =-(53)/(12) \\ =-4(5)/(12) \end{gathered}`