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Least common multiple of and is . Convert and to fractions with denominator .
Since and have the same denominator, subtract them by subtracting their numerators.
Subtract from to get .
Divide by by multiplying by the reciprocal of .
Multiply times by multiplying numerator times numerator and denominator times denominator.
Do the multiplications in the fraction .
Reduce the fraction to lowest terms by extracting and canceling out .
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\frac{\frac{8}{5}}{\frac{32}{400}-\frac{125}{400}}\approx -6.88172043
Least common multiple of 25 and 16 is 400. Convert \frac{2}{25}=0.08 and \frac{5}{16}=0.3125 to fractions with denominator 400.
\frac{\frac{8}{5}}{\frac{32-125}{400}}\approx -6.88172043
Since \frac{32}{400}=0.08 and \frac{125}{400}=0.3125 have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{8}{5}}{-\frac{93}{400}}\approx -6.88172043
Subtract 125 from 32 to get -93.
\frac{8}{5}\left(-\frac{400}{93}\right)\approx -6.88172043
Divide \frac{8}{5}=1.6 by -\frac{93}{400}=-0.2325 by multiplying \frac{8}{5}=1.6 by the reciprocal of -\frac{93}{400}=-0.2325.
\frac{8\left(-400\right)}{5\times 93}\approx -6.88172043
Multiply \frac{8}{5}=1.6 times -\frac{400}{93}\approx -4.301075269 by multiplying numerator times numerator and denominator times denominator.
\frac{-3200}{465}\approx -6.88172043
Do the multiplications in the fraction \frac{8\left(-400\right)}{5\times 93}\approx -6.88172043.
-\frac{640}{93}\approx -6.88172043
Reduce the fraction \frac{-3200}{465}\approx -6.88172043 to lowest terms by extracting and canceling out 5.
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