Solve 50-75/75/frac{50-25{25}}

$$\frac{ \frac{ 50-75 }{ 75 } }{ \frac{ 50-25 }{ 25 } }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Divide \frac{50-75}{75} by \frac{50-25}{25} by multiplying \frac{50-75}{75} by the reciprocal of \frac{50-25}{25}.

$$\frac{\left(50-75\right)\times 25}{75\left(50-25\right)}$$

Extract the negative sign in 50-75.

$$\frac{-25\left(50-25\right)}{75\left(50-25\right)}$$

Cancel out 25\left(50-25\right) in both numerator and denominator.

$$\frac{-1}{3}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$