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

Question

UpStudy AI · Accepted Answer

1. Convert the mixed number to an improper fraction:
   $$
   2\frac{2}{3} = \frac{2\cdot 3+2}{3} = \frac{8}{3}
   $$

2. Rewrite the division as multiplication by the reciprocal:
   $$
   \frac{1}{4} \div \frac{8}{3} = \frac{1}{4} \times \frac{3}{8}
   $$

3. Multiply the fractions:
   $$
   \frac{1\cdot 3}{4\cdot 8} = \frac{3}{32}
   $$

4. The fraction $$\frac{3}{32}$$ is already in simplest form.

Thus, the quotient is $$\boxed{\frac{3}{32}}$$.
The quotient is $$\frac{3}{32}$$.

Find the quotient.