We want to do the following division:
[tex]\frac{10/9}{22/9}[/tex]And in order to do this we can do the following operation:
[tex]\frac{10\cdot9}{22\cdot9}=\frac{10}{22}[/tex]And now we can simplify dividing the numerator and denominator by 2 and we got:
[tex]\frac{10/2}{22/2}=\frac{5}{11}[/tex]And the solution for this case would be 5/11