Dividing by a fraction is the same as multiplying with the inverse.
So
[tex] \frac{ \frac{7}{9} }{ \frac{5}{6} } = \frac{7}{9}[/tex] × [tex] \frac{6}{5} [/tex]
To multiply fractions, just multiply both tops with each other and both bottoms with each other. Then see if you can make the terms smaller by dividing both the top and the bottom by the same number.
So
[tex] \frac{7}{9} [/tex] ×[tex] \frac{6}{5} [/tex] = [tex] \frac{7* 6}{9*5} [/tex] = [tex] \frac{42}{45} [/tex] = [tex] \frac{42/3}{45/3} [/tex] = [tex] \frac{14}{15} [/tex]
