Solve 8/5/frac{2{25}-5/1}00-400

$$\frac{ \frac{ 8 }{ 5 } }{ \frac{ 2 }{ 25 } - \frac{ 5 }{ 1 } } 00-400$$

Evaluate

$$-400$$

Solution Steps

Anything divided by one gives itself.

$$\frac{\frac{8}{5}}{\frac{2}{25}-5}\times 0\times 0-400$$

Convert 5 to fraction \frac{125}{25}.

$$\frac{\frac{8}{5}}{\frac{2}{25}-\frac{125}{25}}\times 0\times 0-400$$

Since \frac{2}{25} and \frac{125}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8}{5}}{\frac{2-125}{25}}\times 0\times 0-400$$

Subtract 125 from 2 to get -123.

$$\frac{\frac{8}{5}}{-\frac{123}{25}}\times 0\times 0-400$$

Divide \frac{8}{5} by -\frac{123}{25} by multiplying \frac{8}{5} by the reciprocal of -\frac{123}{25}.

$$\frac{8}{5}\left(-\frac{25}{123}\right)\times 0\times 0-400$$

Multiply \frac{8}{5} times -\frac{25}{123} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-25\right)}{5\times 123}\times 0\times 0-400$$

Do the multiplications in the fraction \frac{8\left(-25\right)}{5\times 123}.

$$\frac{-200}{615}\times 0\times 0-400$$

Reduce the fraction \frac{-200}{615} to lowest terms by extracting and canceling out 5.

$$-\frac{40}{123}\times 0\times 0-400$$

Multiply -\frac{40}{123} and 0 to get 0.

$$0\times 0-400$$

Multiply 0 and 0 to get 0.

$$0-400$$

Subtract 400 from 0 to get -400.

$$-400$$

Factor

$$-400$$