Question

divide. simplify your answer.
\\(\frac{4}{7} \div \frac{1}{2} = \square\\)

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$\frac{4}{7} \div \frac{1}{2} = \frac{4}{7} \times \frac{2}{1}$

Step2: Multiply numerators and denominators

Multiply top terms and bottom terms separately:
$\frac{4 \times 2}{7 \times 1} = \frac{8}{7}$

Answer:

$\frac{8}{7}$ (or $1\frac{1}{7}$ as a mixed number)