Answer
Explanation
Given:
[tex]1\frac{2}{5}\cdot\frac{4}{8}[/tex]To multiply the above given, we first convert 1 2/5 to improper fraction using the rule:
[tex]a\frac{b}{c}=\frac{ac+b}{c}[/tex]So,
[tex]\begin{gathered} 1\frac{2}{5}\cdot\frac{4}{8}=\frac{1(5)+2}{5}\cdot\frac{4}{8} \\ Simplify \\ =\frac{7}{5}\cdot\frac{4}{8} \\ \end{gathered}[/tex]Next, we use the rule:
[tex]\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}[/tex]Hence,
[tex]\begin{gathered} \frac{7}{5}\cdot\frac{4}{8}=\frac{(7)(4)}{(5)(8)} \\ Simplify \\ =\frac{28}{40} \\ =\frac{7}{10} \end{gathered}[/tex]Therefore, the answer is 7/10.
