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Let's work through the multiplication and division of fractions from the problems in your image. I'll guide you through the process of simplifying the answers to their simplest forms.

### Problems:

1. **Problem 17: \( \frac{1}{4} \times \frac{2}{5} \)**
   \[
   \frac{1 \times 2}{4 \times 5} = \frac{2}{20} = \frac{1}{10}
   \]
   **Answer:** \( \frac{1}{10} \)

2. **Problem 18: \( \frac{3}{7} \times \frac{1}{4} \)**
   \[
   \frac{3 \times 1}{7 \times 4} = \frac{3}{28}
   \]
   **Answer:** \( \frac{3}{28} \)

3. **Problem 21: \( \frac{3}{8} \div \frac{1}{9} \)**
   When dividing fractions, multiply by the reciprocal of the second fraction:
   \[
   \frac{3}{8} \times \frac{9}{1} = \frac{3 \times 9}{8 \times 1} = \frac{27}{8}
   \]
   This is an improper fraction, so:
   \[
   27 \div 8 = 3 \frac{3}{8}
   \]
   **Answer:** \( 3 \frac{3}{8} \)

4. **Problem 22: \( \frac{5}{6} \div \frac{2}{5} \)**
   Again, multiply by the reciprocal:
   \[
   \frac{5}{6} \times \frac{5}{2} = \frac{5 \times 5}{6 \times 2} = \frac{25}{12}
   \]
   This is an improper fraction:
   \[
   25 \div 12 = 2 \frac{1}{12}
   \]
   **Answer:** \( 2 \frac{1}{12} \)

5. **Problem 25: \( \frac{3}{4} \times \frac{8}{15} \)**
   \[
   \frac{3 \times 8}{4 \times 15} = \frac{24}{60}
   \]
   Simplify the fraction:
   \[
   \frac{24}{60} = \frac{2}{5}
   \]
   **Answer:** \( \frac{2}{5} \)

Would you like the remaining problems or details on how these were solved?

### Relative Questions:
1. How do you multiply fractions with whole numbers?
2. What are the rules for dividing fractions?
3. Can you convert improper fractions into mixed numbers? How?
4. How do you simplify complex fractions?
5. What steps do you take when multiplying three or more fractions?

**Tip:** Always simplify fractions as early as possible to make calculations easier.

Solve the multiplication and division of fractions from the provided problems.

Learn how to solve fraction multiplication and division problems step by step. This guide walks through several examples, explaining how to multiply, divide, and simplify fractions. Suitable for students in Grades 5-7.

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