Solve -9+3w/2div25w-75/4

$$\frac { - 9 + 3 w } { 2 } \div \frac { 25 w - 75 } { 4 }$$

Evaluate

$$\frac{6}{25}=0.24$$

Short Solution Steps

Divide \frac{-9+3w}{2} by \frac{25w-75}{4} by multiplying \frac{-9+3w}{2} by the reciprocal of \frac{25w-75}{4}.

$$\frac{\left(-9+3w\right)\times 4}{2\left(25w-75\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(3w-9\right)}{25w-75}$$

Factor the expressions that are not already factored.

$$\frac{2\times 3\left(w-3\right)}{25\left(w-3\right)}$$

Cancel out w-3 in both numerator and denominator.

$$\frac{2\times 3}{25}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$