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I see you've uploaded an image containing 12 fraction multiplication problems. Let's work through them step-by-step, solving each problem.

1. \( \frac{2}{4} \times 3 \frac{5}{6} = \frac{2}{4} \times \left( \frac{23}{6} \right) = \frac{2 \times 23}{4 \times 6} = \frac{46}{24} = \frac{23}{12} \)
   (or \( 1 \frac{11}{12} \)).

2. \( 1 \frac{1}{6} \times 2 \frac{6}{12} = \frac{7}{6} \times \frac{3}{2} = \frac{7 \times 3}{6 \times 2} = \frac{21}{12} = \frac{7}{4} \)
   (or \( 1 \frac{3}{4} \)).

3. \( 2 \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} = \frac{5}{2} \times \frac{3}{4} \times \frac{5}{6} = \frac{5 \times 3 \times 5}{2 \times 4 \times 6} = \frac{75}{48} = \frac{25}{16} \)
   (or \( 1 \frac{9}{16} \)).

4. \( \frac{3}{4} \times \frac{1}{4} \times \frac{4}{10} = \frac{3 \times 1 \times 4}{4 \times 4 \times 10} = \frac{12}{160} = \frac{3}{40} \).

5. \( \frac{3}{4} \times 3 \frac{2}{9} = \frac{3}{4} \times \frac{29}{9} = \frac{3 \times 29}{4 \times 9} = \frac{87}{36} = \frac{29}{12} \)
   (or \( 2 \frac{5}{12} \)).

6. \( \frac{3}{5} \times 6 \times 2 \frac{1}{2} = \frac{3}{5} \times 6 \times \frac{5}{2} = \frac{3 \times 6 \times 5}{5 \times 2} = \frac{90}{10} = 9 \).

7. \( 1 \frac{2}{3} \times 1 \frac{1}{2} = \frac{5}{3} \times \frac{3}{2} = \frac{5 \times 3}{3 \times 2} = \frac{15}{6} = \frac{5}{2} \)
   (or \( 2 \frac{1}{2} \)).

8. \( 1 \frac{8}{12} \times 2 \frac{3}{10} = \frac{20}{12} \times \frac{23}{10} = \frac{5}{3} \times \frac{23}{10} = \frac{5 \times 23}{3 \times 10} = \frac{115}{30} = \frac{23}{6} \)
   (or \( 3 \frac{5}{6} \)).

9. \( \frac{2}{3} \times 2 \frac{2}{3} = \frac{2}{3} \times \frac{8}{3} = \frac{2 \times 8}{3 \times 3} = \frac{16}{9} \)
   (or \( 1 \frac{7}{9} \)).

10. \( \frac{5}{8} \times 3 \frac{1}{2} \times \frac{3}{4} = \frac{5}{8} \times \frac{7}{2} \times \frac{3}{4} = \frac{5 \times 7 \times 3}{8 \times 2 \times 4} = \frac{105}{64} \)
    (or \( 1 \frac{41}{64} \)).

11. \( \frac{3}{4} \times \frac{1}{2} \times \frac{1}{4} = \frac{3 \times 1 \times 1}{4 \times 2 \times 4} = \frac{3}{32} \).

12. \( \frac{2}{5} \times \frac{4}{5} \times \frac{1}{12} = \frac{2 \times 4 \times 1}{5 \times 5 \times 12} = \frac{8}{300} = \frac{2}{75} \).

If you'd like more details or further explanation for any of the steps, feel free to ask!

Here are five related questions to deepen your understanding:
1. How do you simplify fractions after multiplying them?
2. What is the difference between multiplying proper and improper fractions?
3. How do you convert mixed numbers to improper fractions before multiplying?
4. How do you handle multiplication of fractions with different denominators?
5. Can you explain how to multiply fractions by whole numbers?

**Tip:** Always simplify fractions at each step when possible to make calculations easier!

Find the product of the following fraction multiplication problems from the given worksheet image.

Solve these fraction multiplication problems step-by-step, including multiplying fractions, converting mixed numbers to improper fractions, and simplifying results. These problems cover essential concepts for students in Grades 5-7.

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