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\frac{\frac{3}{5}}{\frac{15}{15}-\frac{8}{15}}
Convert 1 to fraction \frac{15}{15}.
\frac{\frac{3}{5}}{\frac{15-8}{15}}
Since \frac{15}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{3}{5}}{\frac{7}{15}}
Subtract 8 from 15 to get 7.
\frac{3}{5}\times \frac{15}{7}
Divide \frac{3}{5} by \frac{7}{15} by multiplying \frac{3}{5} by the reciprocal of \frac{7}{15}.
\frac{3\times 15}{5\times 7}
Multiply \frac{3}{5} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{45}{35}
Do the multiplications in the fraction \frac{3\times 15}{5\times 7}.
\frac{9}{7}
Reduce the fraction \frac{45}{35} to lowest terms by extracting and canceling out 5.