\(2\frac{1}{7} \times 4\frac{3}{8} =\frac{(2\cdot7)+1}{7} \times \frac{(4\times8) +3}{8}=\frac{14+1}{7} \times \frac{32+3}{8}\\\\=\frac{15}{7} \times \frac{35}{8}=\frac{15}{7} \times \frac{7\times5}{8}=\frac{15}{1} \times\frac{5}{8} \\\\=\frac{15\times5}{8} =\frac{75}{8} \\\\=\boxed{\bf{9\frac{3}{8}}}\)
Your final answer is 9 3/8.
