Question

$1\frac{2}{3} \div \frac{1}{2} =$

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{2}{3} = \frac{1\times3 + 2}{3} = \frac{5}{3}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{5}{3} \div \frac{1}{2} = \frac{5}{3} \times \frac{2}{1}$

Step3: Multiply numerators and denominators

$\frac{5\times2}{3\times1} = \frac{10}{3}$

Step4: (Optional) Convert to mixed number

$\frac{10}{3} = 3\frac{1}{3}$

Answer:

$\frac{10}{3}$ or $3\frac{1}{3}$