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\frac{\left(3\times 8+1\right)\times 7}{8\times 2}
Divide \frac{3\times 8+1}{8} by \frac{2}{7} by multiplying \frac{3\times 8+1}{8} by the reciprocal of \frac{2}{7}.
\frac{\left(24+1\right)\times 7}{8\times 2}
Multiply 3 and 8 to get 24.
\frac{25\times 7}{8\times 2}
Add 24 and 1 to get 25.
\frac{175}{8\times 2}
Multiply 25 and 7 to get 175.
\frac{175}{16}
Multiply 8 and 2 to get 16.