https://r2.erweima.ai/mathbot/image/1725838014178vww9e901.jpg

The image contains three fraction division problems. Let's solve each one step by step:

### 10. \(\frac{3}{4} \div \frac{1}{2}\)

To divide fractions, multiply the first fraction by the reciprocal of the second:
\[
\frac{3}{4} \times \frac{2}{1} = \frac{3 \times 2}{4 \times 1} = \frac{6}{4}
\]
Now, simplify \(\frac{6}{4}\):
\[
\frac{6}{4} = \frac{3}{2}
\]

### 11. \(\frac{7}{10} \div \frac{2}{5}\)

Again, multiply by the reciprocal of the second fraction:
\[
\frac{7}{10} \times \frac{5}{2} = \frac{7 \times 5}{10 \times 2} = \frac{35}{20}
\]
Simplify \(\frac{35}{20}\):
\[
\frac{35}{20} = \frac{7}{4}
\]

### 12. \(\frac{5}{8} \div \frac{1}{4}\)

Multiply by the reciprocal of the second fraction:
\[
\frac{5}{8} \times \frac{4}{1} = \frac{5 \times 4}{8 \times 1} = \frac{20}{8}
\]
Simplify \(\frac{20}{8}\):
\[
\frac{20}{8} = \frac{5}{2}
\]

### Final Answers:
- 10. \(\frac{3}{2}\)
- 11. \(\frac{7}{4}\)
- 12. \(\frac{5}{2}\)

Would you like further details or have any questions?

Here are some related questions:
1. How do you multiply fractions in general?
2. What is the process to simplify fractions?
3. How would you convert improper fractions to mixed numbers?
4. Can you explain how to find the reciprocal of a fraction?
5. How can you check your work when dividing fractions?

**Tip:** Always remember that dividing by a fraction is equivalent to multiplying by its reciprocal.

Solve the division of fractions: 3/4 ÷ 1/2, 7/10 ÷ 2/5, 5/8 ÷ 1/4

Learn how to divide fractions using the reciprocal method with examples like 3/4 ÷ 1/2, 7/10 ÷ 2/5, and 5/8 ÷ 1/4. This guide walks you through each step and teaches how to simplify the results. Suitable for Grades 6-8 students.

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