Answer
$15\frac{3}{8}$
Work Step by Step
$3\frac{3}{8}\times4\frac{5}{9}$ $\longrightarrow$ convert to improper fractions
=$(\frac{24}{8}+\frac{3}{8})\times(\frac{36}{9}+\frac{5}{9})$
=$\frac{27}{8}\times\frac{41}{9}$ $\longrightarrow$ multiply numerators and denominators
=$\frac{27\times41}{8\times9}$ $\longrightarrow$ factor
=$\frac{3\times9\times41}{8\times9}$ $\longrightarrow$ eliminate common factors
=$\frac{3\times\big/\!\!9\times41}{8\times\big/\!\!9}$ $\longrightarrow$ simplify
=$\frac{123}{8}$ $\longrightarrow$ convert to mixed number
=$15\frac{3}{8}$
