Question

divide.
\\(\frac{1}{6} \div \frac{1}{2} = \square\\)

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$\frac{1}{6} \div \frac{1}{2} = \frac{1}{6} \times \frac{2}{1}$

Step2: Multiply numerators and denominators

Multiply top terms and bottom terms:
$\frac{1 \times 2}{6 \times 1} = \frac{2}{6}$

Step3: Simplify the fraction

Reduce to lowest terms by dividing numerator and denominator by 2:
$\frac{2 \div 2}{6 \div 2} = \frac{1}{3}$

Answer:

$\frac{1}{3}$