https://file.aiquickdraw.com/mathbot/file/1728249309253hvbc20ub.jpg

Let's go through the problems visible in the image one by one and simplify them.

### Problem 18:  
\[
\frac{3}{7} \times \frac{1}{4}
\]
To multiply fractions, multiply the numerators and the denominators:
\[
\frac{3 \times 1}{7 \times 4} = \frac{3}{28}
\]
So, the answer is:
\[
\frac{3}{28}
\]

### Problem 22:
\[
\frac{5}{6} \cdot \frac{2}{5}
\]
Again, multiply the numerators and the denominators:
\[
\frac{5 \times 2}{6 \times 5} = \frac{10}{30}
\]
Now simplify \(\frac{10}{30}\):
\[
\frac{10}{30} = \frac{1}{3}
\]
So, the answer is:
\[
\frac{1}{3}
\]

### Problem 26:
\[
\frac{4}{9} \times \frac{4}{5}
\]
Multiplying the fractions:
\[
\frac{4 \times 4}{9 \times 5} = \frac{16}{45}
\]
So, the answer is:
\[
\frac{16}{45}
\]

### Problem 30:
\[
\frac{7}{9} \cdot \frac{21}{10}
\]
Multiplying the fractions:
\[
\frac{7 \times 21}{9 \times 10} = \frac{147}{90}
\]
Simplifying \(\frac{147}{90}\), the greatest common divisor of 147 and 90 is 3:
\[
\frac{147}{90} = \frac{49}{30}
\]
So, the answer is:
\[
\frac{49}{30}
\]

Would you like more details on any step or any additional explanations?

Here are 5 related questions for further practice:
1. What is \(\frac{2}{5} \times \frac{3}{8}\) in simplest form?
2. Simplify \(\frac{9}{12} \cdot \frac{5}{6}\).
3. How would you divide \(\frac{5}{7}\) by \(\frac{2}{3}\)?
4. Multiply \(\frac{8}{15} \times \frac{6}{25}\) and simplify.
5. What is the product of \(\frac{14}{27} \times \frac{3}{5}\)?

### Tip:
When multiplying fractions, always check for common factors before multiplying to simplify the calculation!

Simplify the following fractions: 3/7 × 1/4, 5/6 × 2/5, 4/9 × 4/5, and 7/9 × 21/10.

Learn how to simplify fraction multiplication problems such as 3/7 × 1/4, 5/6 × 2/5, 4/9 × 4/5, and 7/9 × 21/10 with clear step-by-step solutions. This guide covers key fraction multiplication techniques and simplification methods for students in Grades 5-7.

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