https://file.aiquickdraw.com/mathbot/file/1726682550946678mb3wu.jpg

The image shows a set of fraction multiplication problems. I'll go ahead and solve each one, step by step.

### Problems:

1) \( \frac{4}{2} \times \frac{2}{3} \)
   \[
   = \frac{4 \times 2}{2 \times 3} = \frac{8}{6} = \frac{4}{3}
   \]

2) \( \frac{3}{5} \times \frac{1}{4} \)
   \[
   = \frac{3 \times 1}{5 \times 4} = \frac{3}{20}
   \]

3) \( 6 \times \frac{1}{6} \)
   \[
   = \frac{6 \times 1}{6} = 1
   \]

4) \( \frac{2}{6} \times \frac{1}{2} \)
   \[
   = \frac{2 \times 1}{6 \times 2} = \frac{2}{12} = \frac{1}{6}
   \]

5) \( \frac{10}{11} \times \frac{7}{15} \)
   \[
   = \frac{10 \times 7}{11 \times 15} = \frac{70}{165} = \frac{14}{33}
   \]

6) \( \frac{4}{5} \times \frac{15}{15} \)
   \[
   = \frac{4 \times 15}{5 \times 15} = \frac{60}{75} = \frac{4}{5}
   \]

7) \( \frac{3}{8} \times \frac{2}{9} \)
   \[
   = \frac{3 \times 2}{8 \times 9} = \frac{6}{72} = \frac{1}{12}
   \]

8) \( \frac{34}{17} \times \frac{2}{3} \)
   \[
   = \frac{34 \times 2}{17 \times 3} = \frac{68}{51} = \frac{4}{3}
   \]

9) \( \frac{9}{8} \times \frac{7}{5} \)
   \[
   = \frac{9 \times 7}{8 \times 5} = \frac{63}{40}
   \]

10) \( \frac{7}{10} \times \frac{1}{4} \)
   \[
   = \frac{7 \times 1}{10 \times 4} = \frac{7}{40}
   \]

11) \( 18 \times \frac{3}{7} \times \frac{4}{15} \)
   \[
   = \frac{18 \times 3 \times 4}{7 \times 15} = \frac{216}{105} = \frac{72}{35}
   \]

12) \( \frac{3}{5} \times \frac{1}{6} \times \frac{5}{8} \)
   \[
   = \frac{3 \times 1 \times 5}{5 \times 6 \times 8} = \frac{15}{240} = \frac{1}{16}
   \]

---

Would you like more details on any of these steps? Here are 5 related questions to consider:

1. How do you simplify fractions in multiplication problems?
2. Why does multiplying by a reciprocal lead to the value 1?
3. What are some strategies for multiplying larger fractions quickly?
4. How do you multiply mixed numbers with fractions?
5. How do you convert improper fractions back to mixed numbers?

**Tip:** Always simplify fractions before multiplying for easier calculations!

Solve fraction multiplication problems such as (4/2) × (2/3) and (10/11) × (7/15) with step-by-step solutions, including how to simplify fractions effectively. Suitable for Grades 6-8 students.

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