https://file.aiquickdraw.com/mathbot/file/1725929046425j48lhaso.jpg

The problem in the image asks to find the quotient of \( 3 \div \frac{2}{5} \).

### Solution:

To solve \( 3 \div \frac{2}{5} \), we can follow these steps:

1. **Convert division by a fraction to multiplication**:
   \[
   3 \div \frac{2}{5} = 3 \times \frac{5}{2}
   \]
   When dividing by a fraction, you multiply by its reciprocal.

2. **Multiply**:
   \[
   3 \times \frac{5}{2} = \frac{3 \times 5}{2} = \frac{15}{2}
   \]
   Therefore, the quotient is \( \frac{15}{2} \).

3. **Convert to a mixed number (optional)**:
   \[
   \frac{15}{2} = 7 \frac{1}{2}
   \]
   So, \( 3 \div \frac{2}{5} = 7 \frac{1}{2} \).

The final answer is \( 7 \frac{1}{2} \) or \( \frac{15}{2} \).

Would you like more details on the steps? Feel free to ask any further questions!

### Related Questions:
1. How do you divide fractions in general?
2. What is the process to convert an improper fraction to a mixed number?
3. How do you solve \( \frac{2}{3} \div \frac{1}{4} \)?
4. What are reciprocal numbers and how are they used in division?
5. How can you check if your division of fractions is correct?

### Tip:
Always remember that dividing by a fraction is the same as multiplying by its reciprocal.

Learn how to find the quotient of dividing a whole number by a fraction, specifically 3 ÷ 2/5. This problem teaches key concepts like reciprocal multiplication and fraction division, suitable for Grade 6 students.

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