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\frac{5\times 8}{2\times 8+7}\times \frac{10\times 5+2}{5}
Divide 5 by \frac{2\times 8+7}{8} by multiplying 5 by the reciprocal of \frac{2\times 8+7}{8}.
\frac{40}{2\times 8+7}\times \frac{10\times 5+2}{5}
Multiply 5 and 8 to get 40.
\frac{40}{16+7}\times \frac{10\times 5+2}{5}
Multiply 2 and 8 to get 16.
\frac{40}{23}\times \frac{10\times 5+2}{5}
Add 16 and 7 to get 23.
\frac{40}{23}\times \frac{50+2}{5}
Multiply 10 and 5 to get 50.
\frac{40}{23}\times \frac{52}{5}
Add 50 and 2 to get 52.
\frac{40\times 52}{23\times 5}
Multiply \frac{40}{23} times \frac{52}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{2080}{115}
Do the multiplications in the fraction \frac{40\times 52}{23\times 5}.
\frac{416}{23}
Reduce the fraction \frac{2080}{115} to lowest terms by extracting and canceling out 5.