Answer:
[tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
Solve for top first
[tex]\frac{5}{8}+\frac{3}{4}[/tex]
Find common denominator, which in this situation is 8. So multiply 3/4 by 2/2:
[tex]\frac{5}{8}+\frac{6}{8} = \frac{11}{8}[/tex]
Now find the bottom of the fraction:
[tex]-\frac{2}{3} -\frac{5}{6}[/tex]
Find common denominator, which in this situation is 6. Multiply -2/3 by 2/2:
[tex]-\frac{2}{3} -\frac{5}{6} = -\frac{9}{6} = - \frac{3}{2}[/tex]
Now you will see the problem as this:
[tex]\frac{11}{8}/-\frac{3}{2}[/tex]
Keep, change, flip. Keep the 11/8 as it is, change the division sign to multiplication sign, and flip the -3/2 to -2/3
[tex]\frac{11}{8}(-\frac{2}{3}) = -\frac{22}{24} =-\frac{11}{12}[/tex]
