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\frac{\left(13\times 6+1\right)\times 3}{6\times 2}
Divide \frac{13\times 6+1}{6} by \frac{2}{3} by multiplying \frac{13\times 6+1}{6} by the reciprocal of \frac{2}{3}.
\frac{1+6\times 13}{2\times 2}
Cancel out 3 in both numerator and denominator.
\frac{1+78}{2\times 2}
Multiply 6 and 13 to get 78.
\frac{79}{2\times 2}
Add 1 and 78 to get 79.
\frac{79}{4}
Multiply 2 and 2 to get 4.