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The image shows a set of division problems involving fractions. The instructions state: "In 8-11, find each quotient." Let’s solve them one by one.

### Problem 8: \(\frac{3}{4} \div \frac{2}{3}\)
To divide by a fraction, multiply by its reciprocal:
\[
\frac{3}{4} \div \frac{2}{3} = \frac{3}{4} \times \frac{3}{2} = \frac{3 \times 3}{4 \times 2} = \frac{9}{8}
\]

### Problem 9: \(\frac{3}{12} \div \frac{1}{8}\)
\[
\frac{3}{12} \div \frac{1}{8} = \frac{3}{12} \times \frac{8}{1} = \frac{3 \times 8}{12} = \frac{24}{12} = 2
\]

### Problem 10: \(\frac{1}{2} \div \frac{4}{5}\)
\[
\frac{1}{2} \div \frac{4}{5} = \frac{1}{2} \times \frac{5}{4} = \frac{1 \times 5}{2 \times 4} = \frac{5}{8}
\]

### Problem 11: \(\frac{7}{10} \div \frac{5}{2}\)
\[
\frac{7}{10} \div \frac{5}{2} = \frac{7}{10} \times \frac{2}{5} = \frac{7 \times 2}{10 \times 5} = \frac{14}{50} = \frac{7}{25}
\]

Would you like detailed step-by-step explanations for any of these problems?

### Relative Questions:
1. How do you find the reciprocal of a fraction?
2. What is the general method for dividing fractions?
3. Can a fraction be simplified further? How do you determine that?
4. What is the difference between dividing and multiplying fractions?
5. When dividing by a fraction, why do we multiply by the reciprocal?

### Tip:
Always simplify fractions to their lowest terms after performing operations to make the final answer clearer and more concise.

In 8-11, find each quotient: 8. (3/4) ÷ (2/3), 9. (3/12) ÷ (1/8), 10. (1/2) ÷ (4/5), 11. (7/10) ÷ (5/2)

Learn how to solve division problems involving fractions, including (3/4) ÷ (2/3), (3/12) ÷ (1/8), (1/2) ÷ (4/5), and (7/10) ÷ (5/2). This tutorial explains how to use the reciprocal rule and simplify fractions step-by-step. Suitable for students in Grades 5-6.

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