https://file.aiquickdraw.com/mathbot/file/1728249067788aqq8whp7.jpg

Let's solve the problems presented in the image. These exercises require multiplying fractions and then simplifying the results.

### Problem 17: 
\[
\frac{1}{4} \times \frac{2}{5}
\]

To multiply fractions, multiply the numerators together and the denominators together:
\[
\frac{1 \times 2}{4 \times 5} = \frac{2}{20}
\]

Simplify \(\frac{2}{20}\):
\[
\frac{2}{20} = \frac{1}{10}
\]

### Answer: 
\[
\frac{1}{10}
\]

### Problem 21:
\[
\frac{3}{8} \times \frac{1}{9}
\]

Multiply the numerators and denominators:
\[
\frac{3 \times 1}{8 \times 9} = \frac{3}{72}
\]

Simplify \(\frac{3}{72}\):
\[
\frac{3}{72} = \frac{1}{24}
\]

### Answer: 
\[
\frac{1}{24}
\]

### Problem 25:
\[
\frac{3}{4} \times \frac{8}{15}
\]

Multiply the numerators and denominators:
\[
\frac{3 \times 8}{4 \times 15} = \frac{24}{60}
\]

Simplify \(\frac{24}{60}\):
\[
\frac{24}{60} = \frac{2}{5}
\]

### Answer:
\[
\frac{2}{5}
\]

### Problem 29:
\[
\frac{13}{18} \times \frac{6}{7}
\]

Multiply the numerators and denominators:
\[
\frac{13 \times 6}{18 \times 7} = \frac{78}{126}
\]

Simplify \(\frac{78}{126}\) by dividing both numerator and denominator by their greatest common divisor (6):
\[
\frac{78}{126} = \frac{13}{21}
\]

### Answer:
\[
\frac{13}{21}
\]

Would you like more details about any of these solutions or have any further questions?

Here are 5 related questions to explore more about fractions:
1. How do you multiply fractions with whole numbers?
2. How can you determine if a fraction can be simplified further?
3. What are the steps to divide fractions?
4. How do you convert a mixed number to an improper fraction?
5. What is the difference between multiplying and adding fractions?

**Tip**: When multiplying fractions, always simplify them if possible before multiplying. This can make the calculation easier and reduce the need for simplifying the final answer.

Solve the following fraction multiplication problems: 1/4 × 2/5, 3/8 × 1/9, 3/4 × 8/15, 13/18 × 6/7.

Learn how to multiply fractions and simplify the results in problems like 1/4 × 2/5, 3/8 × 1/9, 3/4 × 8/15, and 13/18 × 6/7. Detailed step-by-step solutions provided, perfect for students in Grades 5-7.

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