Respuesta :

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.

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