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.