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\frac{\left(1\times 17+6\right)\times 20}{17\left(1\times 20+3\right)}
Divide \frac{1\times 17+6}{17} by \frac{1\times 20+3}{20} by multiplying \frac{1\times 17+6}{17} by the reciprocal of \frac{1\times 20+3}{20}.
\frac{\left(17+6\right)\times 20}{17\left(1\times 20+3\right)}
Multiply 1 and 17 to get 17.
\frac{23\times 20}{17\left(1\times 20+3\right)}
Add 17 and 6 to get 23.
\frac{460}{17\left(1\times 20+3\right)}
Multiply 23 and 20 to get 460.
\frac{460}{17\left(20+3\right)}
Multiply 1 and 20 to get 20.
\frac{460}{17\times 23}
Add 20 and 3 to get 23.
\frac{460}{391}
Multiply 17 and 23 to get 391.
\frac{20}{17}
Reduce the fraction \frac{460}{391} to lowest terms by extracting and canceling out 23.