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\frac{\left(3\times 5+1\right)\times 5}{5\times 3}
Divide \frac{3\times 5+1}{5} by \frac{3}{5} by multiplying \frac{3\times 5+1}{5} by the reciprocal of \frac{3}{5}.
\frac{1+3\times 5}{3}
Cancel out 5 in both numerator and denominator.
\frac{1+15}{3}
Multiply 3 and 5 to get 15.
\frac{16}{3}
Add 1 and 15 to get 16.