Solve 3v-9/2v-6div3/v-1

$$\frac { 3 v - 9 } { 2 v - 6 } \div \frac { 3 } { v - 1 }$$

Evaluate

$$\frac{v-1}{2}$$

Short Solution Steps

Divide \frac{3v-9}{2v-6} by \frac{3}{v-1} by multiplying \frac{3v-9}{2v-6} by the reciprocal of \frac{3}{v-1}.

$$\frac{\left(3v-9\right)\left(v-1\right)}{\left(2v-6\right)\times 3}$$

Factor the expressions that are not already factored.

$$\frac{3\left(v-3\right)\left(v-1\right)}{2\times 3\left(v-3\right)}$$

Cancel out 3\left(v-3\right) in both numerator and denominator.

$$\frac{v-1}{2}$$

Expand

$$\frac{v-1}{2}$$

Short Solution Steps

Divide \frac{3v-9}{2v-6} by \frac{3}{v-1} by multiplying \frac{3v-9}{2v-6} by the reciprocal of \frac{3}{v-1}.

$$\frac{\left(3v-9\right)\left(v-1\right)}{\left(2v-6\right)\times 3}$$

Factor the expressions that are not already factored.

$$\frac{3\left(v-3\right)\left(v-1\right)}{2\times 3\left(v-3\right)}$$

Cancel out 3\left(v-3\right) in both numerator and denominator.

$$\frac{v-1}{2}$$