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\frac{\left(1\times 5+3\right)\times 5}{5\times 3}
Divide \frac{1\times 5+3}{5} by \frac{3}{5} by multiplying \frac{1\times 5+3}{5} by the reciprocal of \frac{3}{5}.
\frac{3+5}{3}
Cancel out 5 in both numerator and denominator.
\frac{8}{3}
Add 3 and 5 to get 8.