[tex]\frac{5}{9}*3\frac{9}{10}[/tex]
Turn the mixed fraction into an improper fraction
[tex]\frac{5}{9}*\frac{39}{10}[/tex]
cross multiply. 5 can go into 10 so cross out 5 and replace it with a 1 and cross out 10 and replace it with a 2.
[tex]\frac{1}{9}*\frac{39}{2}[/tex]
Now multiply the numerators and denominators.
[tex]\frac{1}{9}*\frac{39}{2}=\frac{39}{18}[/tex]
Turn the improper fraction back into a mixed number
[tex]\frac{39}{18}=2\frac{3}{18}[/tex]
Simplify/Reduce
[tex]2\frac{1}{6}[/tex]
The final answer would be 2 1/6
