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\frac{\left(9\times 5+3\right)\times 8}{5\times 3}
Divide \frac{9\times 5+3}{5} by \frac{3}{8} by multiplying \frac{9\times 5+3}{5} by the reciprocal of \frac{3}{8}.
\frac{\left(45+3\right)\times 8}{5\times 3}
Multiply 9 and 5 to get 45.
\frac{48\times 8}{5\times 3}
Add 45 and 3 to get 48.
\frac{384}{5\times 3}
Multiply 48 and 8 to get 384.
\frac{384}{15}
Multiply 5 and 3 to get 15.
\frac{128}{5}
Reduce the fraction \frac{384}{15} to lowest terms by extracting and canceling out 3.