Answer:
[tex]31\frac{7}{20}[/tex]Explanation:
Given the product
[tex]4\frac{2}{5}\cdot7\frac{1}{8}[/tex]Convert the mixed fractions to proper fractions.
[tex]\begin{gathered} 4\frac{2}{5}=\frac{4\cdot5+2}{5}=\frac{22}{5} \\ 7\frac{1}{8}=\frac{7\cdot8+1}{8}=\frac{57}{8} \end{gathered}[/tex]Find the product.
[tex]\frac{22}{5}\cdot\frac{57}{8}=\frac{627}{20}[/tex]Convert to mixed fraction.
[tex]\begin{gathered} \frac{627}{20}=\frac{31\cdot20+7}{20} \\ =31\frac{7}{20} \end{gathered}[/tex]Option C is correct.