Respuesta :

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]

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