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\frac{\left(31\times 4+1\right)\times 6}{4\left(20\times 6+5\right)}
Divide \frac{31\times 4+1}{4} by \frac{20\times 6+5}{6} by multiplying \frac{31\times 4+1}{4} by the reciprocal of \frac{20\times 6+5}{6}.
\frac{3\left(1+4\times 31\right)}{2\left(5+6\times 20\right)}
Cancel out 2 in both numerator and denominator.
\frac{3\left(1+124\right)}{2\left(5+6\times 20\right)}
Multiply 4 and 31 to get 124.
\frac{3\times 125}{2\left(5+6\times 20\right)}
Add 1 and 124 to get 125.
\frac{375}{2\left(5+6\times 20\right)}
Multiply 3 and 125 to get 375.
\frac{375}{2\left(5+120\right)}
Multiply 6 and 20 to get 120.
\frac{375}{2\times 125}
Add 5 and 120 to get 125.
\frac{375}{250}
Multiply 2 and 125 to get 250.
\frac{3}{2}
Reduce the fraction \frac{375}{250} to lowest terms by extracting and canceling out 125.