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\frac{11}{8}\times \frac{16}{3}
Divide \frac{11}{8} by \frac{3}{16} by multiplying \frac{11}{8} by the reciprocal of \frac{3}{16}.
\frac{11\times 16}{8\times 3}
Multiply \frac{11}{8} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{176}{24}
Do the multiplications in the fraction \frac{11\times 16}{8\times 3}.
\frac{22}{3}
Reduce the fraction \frac{176}{24} to lowest terms by extracting and canceling out 8.