Question

find the quotient. $\frac{1}{4} div 2\frac{2}{3} = square$

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{2}{3} = \frac{2\times3 + 2}{3} = \frac{8}{3}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{1}{4} \div \frac{8}{3} = \frac{1}{4} \times \frac{3}{8}$

Step3: Multiply numerators and denominators

$\frac{1\times3}{4\times8} = \frac{3}{32}$

Answer:

$\frac{3}{32}$