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\frac{\left(10\times 18+3\right)\times 18}{18\left(3\times 18+7\right)}
Divide \frac{10\times 18+3}{18} by \frac{3\times 18+7}{18} by multiplying \frac{10\times 18+3}{18} by the reciprocal of \frac{3\times 18+7}{18}.
\frac{3+10\times 18}{7+3\times 18}
Cancel out 18 in both numerator and denominator.
\frac{3+180}{7+3\times 18}
Multiply 10 and 18 to get 180.
\frac{183}{7+3\times 18}
Add 3 and 180 to get 183.
\frac{183}{7+54}
Multiply 3 and 18 to get 54.
\frac{183}{61}
Add 7 and 54 to get 61.
3
Divide 183 by 61 to get 3.