Solve 8-5/4/frac{5-8{5}}

$$\frac { \frac { 8 - 5 } { 4 } } { \frac { 5 - 8 } { 5 } }$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Divide \frac{8-5}{4} by \frac{5-8}{5} by multiplying \frac{8-5}{4} by the reciprocal of \frac{5-8}{5}.

$$\frac{\left(8-5\right)\times 5}{4\left(5-8\right)}$$

Extract the negative sign in 8-5.

$$\frac{-5\left(5-8\right)}{4\left(5-8\right)}$$

Cancel out 5-8 in both numerator and denominator.

$$\frac{-5}{4}$$

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$-\frac{5}{4}$$

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$