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\frac{1500\times 3}{53\times 3+1}
Divide 1500 by \frac{53\times 3+1}{3} by multiplying 1500 by the reciprocal of \frac{53\times 3+1}{3}.
\frac{4500}{53\times 3+1}
Multiply 1500 and 3 to get 4500.
\frac{4500}{159+1}
Multiply 53 and 3 to get 159.
\frac{4500}{160}
Add 159 and 1 to get 160.
\frac{225}{8}
Reduce the fraction \frac{4500}{160} to lowest terms by extracting and canceling out 20.