#### Answer

$2\frac{11}{12}$

#### Work Step by Step

$3\frac{1}{3}\times\frac{7}{8}$ $\longrightarrow$convert mixed number to improper fraction
=$\frac{3\times3+1}{3}\times\frac{7}{8}$
=$\frac{10}{3}\times\frac{7}{8}$ $\longrightarrow$multiply numerators and denominators
=$\frac{10\times7}{3\times8}$ $\longrightarrow$ simplify
=$\frac{70}{24}$ $\longrightarrow$ convert to mixed number
=$70\div24$
=$2R22$
=$2\frac{22}{24}$ $\longrightarrow$ reduce to lowest terms
=$2\frac{22\div2}{24\div2}$
=$2\frac{11}{12}$