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\frac{15\times 6}{4\times 6+1}
Divide 15 by \frac{4\times 6+1}{6} by multiplying 15 by the reciprocal of \frac{4\times 6+1}{6}.
\frac{90}{4\times 6+1}
Multiply 15 and 6 to get 90.
\frac{90}{24+1}
Multiply 4 and 6 to get 24.
\frac{90}{25}
Add 24 and 1 to get 25.
\frac{18}{5}
Reduce the fraction \frac{90}{25} to lowest terms by extracting and canceling out 5.