Answer:
-53/12 or 4 5/12 either works
Explanation:
Let's turn the mixed fractions into improper fractions.
-7 2/3 = -23/3
-5 1/2 = -11/2
8 3/4 = 35/4
Now we need to find Least Common Denominator.
12 is the LCD because
3*4 = 12 is for -23/3
2*6 = 12 is for -11/2
4*3 = 12 is for 35/4
Now you will multiply the improper fractions by the 2nd number.
![-(23)/(3)*((4)/(4)) = -(92)/(12) \\\\-(11)/(2)*((6)/(6)) = -(66)/(12) \\\\(35)/(4)*((3)/(3)) = (105)/(12)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r7elhes71jc86jrtioa30xrvivqbvqj7da.png)
Now that they have the same denominators just put the numerators in the equation.
-92 + -66 + 105 = -53
-53/12 or -4 5/12
Hope this helps ya!