Answer:
-53/12 or 4 5/12 either works
Step-by-step 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.
[tex]-\frac{23}{3}*(\frac{4}{4}) = -\frac{92}{12} \\\\-\frac{11}{2}*(\frac{6}{6}) = -\frac{66}{12} \\\\\frac{35}{4}*(\frac{3}{3}) = \frac{105}{12}[/tex]
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!
