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\frac{\left(2\times 9+5\right)\times 18}{9\times 7}
Divide \frac{2\times 9+5}{9} by \frac{7}{18} by multiplying \frac{2\times 9+5}{9} by the reciprocal of \frac{7}{18}.
\frac{2\left(5+2\times 9\right)}{7}
Cancel out 9 in both numerator and denominator.
\frac{2\left(5+18\right)}{7}
Multiply 2 and 9 to get 18.
\frac{2\times 23}{7}
Add 5 and 18 to get 23.
\frac{46}{7}
Multiply 2 and 23 to get 46.