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\frac{\frac{8}{5}}{\frac{32}{400}-\frac{125}{400}}
Least common multiple of 25 and 16 is 400. Convert \frac{2}{25} and \frac{5}{16} to fractions with denominator 400.
\frac{\frac{8}{5}}{\frac{32-125}{400}}
Since \frac{32}{400} and \frac{125}{400} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{8}{5}}{-\frac{93}{400}}
Subtract 125 from 32 to get -93.
\frac{8}{5}\left(-\frac{400}{93}\right)
Divide \frac{8}{5} by -\frac{93}{400} by multiplying \frac{8}{5} by the reciprocal of -\frac{93}{400}.
\frac{8\left(-400\right)}{5\times 93}
Multiply \frac{8}{5} times -\frac{400}{93} by multiplying numerator times numerator and denominator times denominator.
\frac{-3200}{465}
Do the multiplications in the fraction \frac{8\left(-400\right)}{5\times 93}.
-\frac{640}{93}
Reduce the fraction \frac{-3200}{465} to lowest terms by extracting and canceling out 5.