Answer:
[tex]10\frac{2}{15}[/tex]
Step-by-step explanation:
We want to write [tex]3\frac{1}{5}*3\frac{1}{6}[/tex] in simplest form
We convert the mixed numbers to improper fraction.
[tex]\frac{16}{5}*\frac{19}{6}[/tex]
We look for common factors to cancel out
[tex]\frac{8*2}{5}*\frac{19}{2*3}[/tex]
[tex]\frac{8}{5}*\frac{19}{3}[/tex]
We multiple the numerators and the denominators to get:
[tex]\frac{8*19}{5*3}[/tex]
This simplifies to:
[tex]\frac{152}{15}=10\frac{2}{15}[/tex]