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\frac{4\times 15}{8\times 12}
Divide \frac{4}{8} by \frac{12}{15} by multiplying \frac{4}{8} by the reciprocal of \frac{12}{15}.
\frac{5}{2\times 4}
Cancel out 3\times 4 in both numerator and denominator.
\frac{5}{8}
Multiply 2 and 4 to get 8.