Question

solve. \\( 1\frac{3}{7} \div \frac{1}{2} = \frac{\square}{\square} \times \frac{\square}{\square} = \frac{\square}{\square} = \square \\)

Explanation:

Step1: Recall division of fractions rule

To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$. So, $\frac{3}{7} \div \frac{1}{2} = \frac{3}{7} \times \frac{2}{1}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $3 \times 2 = 6$. Multiply the denominators: $7 \times 1 = 7$. So, $\frac{3}{7} \times \frac{2}{1} = \frac{6}{7}$.

Answer:

$\frac{3}{7} \div \frac{1}{2} = \frac{3}{7} \times \frac{2}{1} = \frac{6}{7}$