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\frac{\left(1\times 10+7\right)\times 14}{10\times 5}
Divide \frac{1\times 10+7}{10} by \frac{5}{14} by multiplying \frac{1\times 10+7}{10} by the reciprocal of \frac{5}{14}.
\frac{7\left(7+10\right)}{5\times 5}
Cancel out 2 in both numerator and denominator.
\frac{7\times 17}{5\times 5}
Add 7 and 10 to get 17.
\frac{119}{5\times 5}
Multiply 7 and 17 to get 119.
\frac{119}{25}
Multiply 5 and 5 to get 25.