Evaluate: 2/7 \approx 0.285714286

Evaluate: $\frac{2}{7}\approx 0.285714286$

Divide $\frac{8}{3x^{2}-q}$ by $\frac{56}{6x^{2}-2q}$ by multiplying $\frac{8}{3x^{2}-q}$ by the reciprocal of $\frac{56}{6x^{2}-2q}$.

$$\frac{8\left(6x^{2}-2q\right)}{\left(3x^{2}-q\right)\times 56}$$

Cancel out $8$ in both numerator and denominator.

$$\frac{6x^{2}-2q}{7\left(3x^{2}-q\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\left(3x^{2}-q\right)}{7\left(3x^{2}-q\right)}$$

Cancel out $3x^{2}-q$ in both numerator and denominator.

$$\frac{2}{7}$$