Solve v^2-36/49v+294divv-6/42

$$\frac { v ^ { 2 } - 36 } { 49 v + 294 } \div \frac { v - 6 } { 42 }$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Short Solution Steps

Divide \frac{v^{2}-36}{49v+294} by \frac{v-6}{42} by multiplying \frac{v^{2}-36}{49v+294} by the reciprocal of \frac{v-6}{42}.

$$\frac{\left(v^{2}-36\right)\times 42}{\left(49v+294\right)\left(v-6\right)}$$

Factor the expressions that are not already factored.

$$\frac{42\left(v-6\right)\left(v+6\right)}{49\left(v-6\right)\left(v+6\right)}$$

Cancel out 7\left(v-6\right)\left(v+6\right) in both numerator and denominator.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$