Hello!
First of all, let's convert these mixed numbers into improper fractions. We multiply the denominator by the whole number, and add the numerator to find the final numerator.
[tex] 3\frac{2}{3} =9\frac{2}{3}=\frac{11}{3} [/tex]
[tex] 14\frac{2}{5} =70\frac{2}{5} =\frac{72}{5} [/tex]
Now we multiply our fractions. We can also cancel out common factors in diagonals to automatically simplify our answer.
[tex] \frac{11}{3} \cdot\frac{72}{5} =\frac{11}{1} \cdot\frac{24}{5} =\frac{264}{5} = 52 \frac{4}{5} [/tex]
Therefore, our answer is [tex] \boxed {A) 52 \frac{4}{5}} [/tex].
I hope this helps!
