Answer:
[tex] \frac{65}{99} [/tex]
Step-by-step explanation:
Use the reciprocal of 11/13 (13/11) and multiply that to 5/9.
[tex] \frac{5}{9} \times \frac{13}{11} = \frac{65}{99} [/tex]
If you want to prove this is true, just multiply by 11/13 and simplify.
[tex] \frac{65}{99} \times \frac{11}{13} = \frac{715}{1287} [/tex]
Either simplify with a calculator or find the GCF (143). You get 5/9 both times.