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\frac{9\times 5}{4\times 5+1}
Divide 9 by \frac{4\times 5+1}{5} by multiplying 9 by the reciprocal of \frac{4\times 5+1}{5}.
\frac{45}{4\times 5+1}
Multiply 9 and 5 to get 45.
\frac{45}{20+1}
Multiply 4 and 5 to get 20.
\frac{45}{21}
Add 20 and 1 to get 21.
\frac{15}{7}
Reduce the fraction \frac{45}{21} to lowest terms by extracting and canceling out 3.