Solve for: 2 3/8*3 3/7

Expression: $2\frac{3}{8}\cdot 3\frac{3}{7}$

Convert mixed numbers to improper fractions $:{\quad}3\frac{3}{7}=\frac{24}{7}$

$=\frac{19}{8}\cdot \frac{24}{7}$

Apply the fraction rule $\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{19\cdot 24}{8\cdot 7}$

Factor the number: $ 24=8\cdot 3$

$=\frac{19\cdot 8\cdot 3}{8\cdot 7}$

Cancel the common factor: $ 8$

$=\frac{19\cdot 3}{7}$

Multiply the numbers: $ 19\cdot 3=57$

$=\frac{57}{7}$

Convert mixed numbers to improper fractions $:{\quad}2\frac{3}{8}=\frac{19}{8}$

$=\frac{19}{8}\cdot 3\frac{3}{7}$ $=8\frac{1}{7}$