Please help me with this question7 \ (2)/(3) + ( - 5 \ (1)/(2) ) + 8 \ (3)/(4) =

Question

Please help me with this question
`7 \ (2)/(3) + ( - 5 \ (1)/(2) ) + 8 \ (3)/(4) =`

Answer 1

First, we need to convert the mixed numbers into fractions, as follows:

`\begin{gathered} -7(2)/(3)=-(7\cdot3+2)/(3)=-(23)/(3) \\ -5(1)/(2)=-(5\cdot2+1)/(2)=-(11)/(2) \\ 8(3)/(4)=(8\cdot4+3)/(4)=(35)/(4) \end{gathered}`

Now, we can compute the addition as follows:

`\begin{gathered} -7(2)/(3)+(-5(1)/(2))+8(3)/(4)= \\ -(23)/(3)-(11)/(2)+(35)/(4)=(-23\cdot4-11\cdot6+35\cdot3)/(12)=(-92-66+105)/(12)=(-53)/(12) \end{gathered}`