-12

Question

- 5 1/2 - 9 1/4 + 2 3/4

Answer 1

-12

Step-by-step explanation:
`-5(1)/(2)-9(1)/(4)+2(3)/(4)`

first we convert to improper fraction:

`=(-11)/(2)\text{ - }(37)/(4)\text{ + }(11)/(4)`

simplify:

`\begin{gathered} =\text{ }\frac{2(-11)\text{ - 37(1) + 11(1)}}{4} \\ =\text{ }\frac{-22\text{ - 37 + 11}}{4} \\ =\text{ }\frac{-59\text{ + 11}}{4} \end{gathered}`
`\begin{gathered} =\text{ }(-48)/(4) \\ =\text{ -12} \end{gathered}`