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

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

Evaluate

$$-\frac{40}{123}\approx -0.325203252$$

Solution Steps

Anything divided by one gives itself.

$$\frac{\frac{8}{5}}{\frac{2}{25}-5}$$

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

$$\frac{\frac{8}{5}}{\frac{2}{25}-\frac{125}{25}}$$

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

$$\frac{\frac{8}{5}}{\frac{2-125}{25}}$$

Subtract 125 from 2 to get -123.

$$\frac{\frac{8}{5}}{-\frac{123}{25}}$$

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

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

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

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

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

$$\frac{-200}{615}$$

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

$$-\frac{40}{123}$$

Factor

$$-\frac{40}{123} = -0.3252032520325203$$