Question

(\frac{2}{3} div \frac{6}{7})

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, $\frac{2}{3} \div \frac{6}{7}=\frac{2}{3} \times \frac{7}{6}$.

Step2: Multiply numerators and denominators

Multiply the numerators: $2\times7 = 14$. Multiply the denominators: $3\times6 = 18$. So we get $\frac{14}{18}$.

Step3: Simplify the fraction

We can simplify $\frac{14}{18}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, $\frac{14\div2}{18\div2}=\frac{7}{9}$.

Answer:

$\frac{7}{9}$