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\frac{\left(8\times 3+1\right)\times 6}{3\left(4\times 6+1\right)}
Divide \frac{8\times 3+1}{3} by \frac{4\times 6+1}{6} by multiplying \frac{8\times 3+1}{3} by the reciprocal of \frac{4\times 6+1}{6}.
\frac{2\left(1+3\times 8\right)}{1+4\times 6}
Cancel out 3 in both numerator and denominator.
\frac{2\left(1+24\right)}{1+4\times 6}
Multiply 3 and 8 to get 24.
\frac{2\times 25}{1+4\times 6}
Add 1 and 24 to get 25.
\frac{50}{1+4\times 6}
Multiply 2 and 25 to get 50.
\frac{50}{1+24}
Multiply 4 and 6 to get 24.
\frac{50}{25}
Add 1 and 24 to get 25.
2
Divide 50 by 25 to get 2.