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\frac{\left(6\times 25+14\right)\times 5}{25\times 4}
Divide \frac{6\times 25+14}{25} by \frac{4}{5} by multiplying \frac{6\times 25+14}{25} by the reciprocal of \frac{4}{5}.
\frac{14+6\times 25}{4\times 5}
Cancel out 5 in both numerator and denominator.
\frac{14+150}{4\times 5}
Multiply 6 and 25 to get 150.
\frac{164}{4\times 5}
Add 14 and 150 to get 164.
\frac{164}{20}
Multiply 4 and 5 to get 20.
\frac{41}{5}
Reduce the fraction \frac{164}{20} to lowest terms by extracting and canceling out 4.