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\frac{\left(1\times 3+1\right)\times 6}{3}
Divide \frac{1\times 3+1}{3} by \frac{1}{6} by multiplying \frac{1\times 3+1}{3} by the reciprocal of \frac{1}{6}.
\frac{\left(3+1\right)\times 6}{3}
Multiply 1 and 3 to get 3.
\frac{4\times 6}{3}
Add 3 and 1 to get 4.
\frac{24}{3}
Multiply 4 and 6 to get 24.
8
Divide 24 by 3 to get 8.