Answer:
-7/45
Step-by-step explanation:
First, find the lowest common denominator for 9 and 15. It's 45. Make both fractions over 45 by multiplying the top and bottom by the same number.
[tex]-\frac{8}{9} +\frac{11}{15}[/tex]
[tex]= -\frac{8*5}{9*5} +\frac{11*3}{15*3}[/tex] Since 15*3=45, multiply the top by 3 also. Since 9*5=45, multiply the top by 5 also.
[tex]= -\frac{40}{45} +\frac{33}{45}[/tex]
[tex]= \frac{-40+33}{45}[/tex] Combine the fractions
[tex]= -\frac{7}{45}[/tex] Answer in lowest terms
