Question

divide,
\\(\frac{1}{2} \div \frac{5}{6} = \square\\)

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$\frac{1}{2} \div \frac{5}{6} = \frac{1}{2} \times \frac{6}{5}$

Step2: Multiply numerators and denominators

Multiply top terms and bottom terms separately:
$\frac{1 \times 6}{2 \times 5} = \frac{6}{10}$

Step3: Simplify the fraction

Reduce the fraction to lowest terms:
$\frac{6 \div 2}{10 \div 2} = \frac{3}{5}$

Answer:

$\frac{3}{5}$