The question requires that you evaluate the product of the given mixed fractions:
[tex]7\frac{1}{8}\times5\frac{2}{3}[/tex]Express, the mixed fractions as improper fractions:
[tex]\frac{57}{8}\times\frac{17}{3}[/tex]Since 3 can divide 57 without remainder, it follows:
[tex]\frac{57}{8}\times\frac{17}{3}=\frac{57\times17}{8\times3}=\frac{19\times17}{8\times1}=\frac{323}{8}[/tex]Change the improper fraction to mixed fraction:
[tex]\frac{323}{8}=40\frac{3}{8}[/tex]The product of the mixed fractions is 40 3/8.