Find the quotient. Write your answer as a mixed number. $$ 4 \div 2 \frac{1}{5} $$

Question

UpStudy AI · Accepted Answer

To find the quotient of $$ 4 \div 2 \frac{1}{5} $$ and express it as a mixed number, follow these steps:

1. **Convert the mixed number to an improper fraction:**
   
   $$ 2 \frac{1}{5} = \frac{2 	imes 5 + 1}{5} = \frac{11}{5} $$

2. **Set up the division:**
   
   $$ 4 \div \frac{11}{5} $$

3. **Convert the division to multiplication by the reciprocal:**
   
   $$ 4 	imes \frac{5}{11} = \frac{20}{11} $$

4. **Convert the improper fraction back to a mixed number:**
   
   $$ \frac{20}{11} = 1 \frac{9}{11} $$

**Final Answer:**

$$ 1 \frac{9}{11} $$
The quotient is $$ 1 \frac{9}{11} $$.

Find the quotient. Write your answer as a mixed number. \( 4 \div 2 \frac{1}{5} \)