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15\times \frac{19}{10}
Divide 15 by \frac{10}{19} by multiplying 15 by the reciprocal of \frac{10}{19}.
\frac{15\times 19}{10}
Express 15\times \frac{19}{10} as a single fraction.
\frac{285}{10}
Multiply 15 and 19 to get 285.
\frac{57}{2}
Reduce the fraction \frac{285}{10} to lowest terms by extracting and canceling out 5.