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\frac{\left(7\times 5+1\right)\times 7}{5\left(5\times 7+1\right)}
Divide \frac{7\times 5+1}{5} by \frac{5\times 7+1}{7} by multiplying \frac{7\times 5+1}{5} by the reciprocal of \frac{5\times 7+1}{7}.
\frac{7}{5}
Cancel out 1+5\times 7 in both numerator and denominator.