find the quotient.\n$\frac{1}{4}div2\frac{2}{3}=$

Explanation:

Step1: Convert mixed number to improper fraction

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

Step2: Change division to multiplication

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

Step3: Multiply the fractions

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

Answer:

$\frac{3}{32}$