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60\times \frac{25}{24}
Divide 60 by \frac{24}{25} by multiplying 60 by the reciprocal of \frac{24}{25}.
\frac{60\times 25}{24}
Express 60\times \frac{25}{24} as a single fraction.
\frac{1500}{24}
Multiply 60 and 25 to get 1500.
\frac{125}{2}
Reduce the fraction \frac{1500}{24} to lowest terms by extracting and canceling out 12.