https://file.aiquickdraw.com/mathbot/file/172987913647420grmf6r.jpg

The expression you uploaded is:

\[
1 \frac{1}{2} \div \frac{5}{7}
\]

### Steps to solve:
1. **Convert the mixed number to an improper fraction**:
   \[
   1 \frac{1}{2} = \frac{3}{2}
   \]
   
2. **Rewrite the division as multiplication by the reciprocal**:
   \[
   \frac{3}{2} \div \frac{5}{7} = \frac{3}{2} \times \frac{7}{5}
   \]

3. **Multiply the numerators and denominators**:
   \[
   \frac{3 \times 7}{2 \times 5} = \frac{21}{10}
   \]

Thus, the result of the division is:

\[
\frac{21}{10} \quad \text{or} \quad 2 \frac{1}{10}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the general rule for dividing fractions?
3. How do you convert improper fractions back to mixed numbers?
4. Can you simplify the result before converting to a mixed number?
5. How can multiplying by the reciprocal help simplify division problems?

**Tip**: Always remember to convert division problems into multiplication by the reciprocal to make solving easier.

Learn how to divide the mixed number 1 1/2 by the fraction 5/7 with a step-by-step solution. This problem explores key fraction concepts such as converting mixed numbers to improper fractions and multiplying by the reciprocal. Suitable for students in Grades 6-8.

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