Evaluate

-\frac{640}{93}\approx -6.88172043

Factor

\frac{{(-1)} \cdot 2 ^ {7} \cdot 5}{3 \cdot 31} \approx -6.88172043

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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.

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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

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