Printable worksheet for practicing multiplying fractions, featuring 18 problems and a clean, educational layout.

Since the user has not selected any of the optional features (ExplainAnswer, TeachTopic, or GeneratePractice), I will proceed directly to solving the problems presented in the worksheet and provide the final answers in a clear list format.

Here are the step-by-step solutions for each multiplication problem:

1. $\frac{7}{8} \times \frac{2}{15}$
- Multiply numerators: $7 \times 2 = 14$
- Multiply denominators: $8 \times 15 = 120$
- Simplify $\frac{14}{120}$ by dividing both by 2: $\frac{7}{60}$

2. $\frac{2}{9} \times \frac{6}{18}$
- Simplify $\frac{6}{18}$ to $\frac{1}{3}$ first.
- Now multiply: $\frac{2}{9} \times \frac{1}{3} = \frac{2}{27}$

3. $\frac{8}{15} \times \frac{5}{32}$
- Cross-cancel: 8 and 32 share a factor of 8 (becomes 1 and 4). 5 and 15 share a factor of 5 (becomes 1 and 3).
- Multiply remaining: $\frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$

4. $\frac{11}{12} \times \frac{10}{22}$
- Cross-cancel: 11 and 22 share a factor of 11 (becomes 1 and 2). 10 and 12 share a factor of 2 (becomes 5 and 6).
- Multiply remaining: $\frac{1}{6} \times \frac{5}{2} = \frac{5}{12}$

5. $\frac{9}{10} \times \frac{2}{7}$
- Multiply numerators: $9 \times 2 = 18$
- Multiply denominators: $10 \times 7 = 70$
- Simplify $\frac{18}{70}$ by dividing by 2: $\frac{9}{35}$

6. $\frac{5}{14} \times \frac{2}{5}$
- Cross-cancel: 5 and 5 cancel out (becomes 1). 2 and 14 share a factor of 2 (becomes 1 and 7).
- Multiply remaining: $\frac{1}{7} \times \frac{1}{1} = \frac{1}{7}$

7. $\frac{2}{3} \times \frac{7}{18}$
- Cross-cancel: 2 and 18 share a factor of 2 (becomes 1 and 9).
- Multiply remaining: $\frac{1}{3} \times \frac{7}{9} = \frac{7}{27}$

8. $\frac{5}{20} \times \frac{5}{8}$
- Simplify $\frac{5}{20}$ to $\frac{1}{4}$.
- Multiply: $\frac{1}{4} \times \frac{5}{8} = \frac{5}{32}$

9. $\frac{5}{6} \times \frac{3}{10}$
- Cross-cancel: 5 and 10 share a factor of 5 (becomes 1 and 2). 3 and 6 share a factor of 3 (becomes 1 and 2).
- Multiply remaining: $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

10. $\frac{1}{2} \times \frac{3}{24}$
- Simplify $\frac{3}{24}$ to $\frac{1}{8}$.
- Multiply: $\frac{1}{2} \times \frac{1}{8} = \frac{1}{16}$

11. $\frac{3}{10} \times \frac{5}{12}$
- Cross-cancel: 3 and 12 share a factor of 3 (becomes 1 and 4). 5 and 10 share a factor of 5 (becomes 1 and 2).
- Multiply remaining: $\frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$

12. $\frac{3}{10} \times \frac{6}{15}$
- Simplify $\frac{6}{15}$ to $\frac{2}{5}$.
- Multiply: $\frac{3}{10} \times \frac{2}{5} = \frac{6}{50}$
- Simplify $\frac{6}{50}$ by dividing by 2: $\frac{3}{25}$

13. $\frac{3}{15} \times \frac{5}{35}$
- Simplify $\frac{3}{15}$ to $\frac{1}{5}$ and $\frac{5}{35}$ to $\frac{1}{7}$.
- Multiply: $\frac{1}{5} \times \frac{1}{7} = \frac{1}{35}$

14. $\frac{6}{4} \times \frac{5}{24}$
- Simplify $\frac{6}{4}$ to $\frac{3}{2}$.
- Multiply: $\frac{3}{2} \times \frac{5}{24} = \frac{15}{48}$
- Simplify $\frac{15}{48}$ by dividing by 3: $\frac{5}{16}$

15. $\frac{17}{18} \times \frac{12}{13}$
- Cross-cancel: 12 and 18 share a factor of 6 (becomes 2 and 3).
- Multiply remaining: $\frac{17}{3} \times \frac{2}{13} = \frac{34}{39}$

16. $\frac{2}{5} \times \frac{5}{14}$
- Cross-cancel: 5 and 5 cancel out. 2 and 14 share a factor of 2 (becomes 1 and 7).
- Multiply remaining: $\frac{1}{1} \times \frac{1}{7} = \frac{1}{7}$

17. $\frac{20}{21} \times \frac{6}{15}$
- Simplify $\frac{6}{15}$ to $\frac{2}{5}$.
- Multiply: $\frac{20}{21} \times \frac{2}{5} = \frac{40}{105}$
- Simplify $\frac{40}{105}$ by dividing by 5: $\frac{8}{21}$

18. $\frac{12}{15} \times \frac{3}{9}$
- Simplify $\frac{12}{15}$ to $\frac{4}{5}$ and $\frac{3}{9}$ to $\frac{1}{3}$.
- Multiply: $\frac{4}{5} \times \frac{1}{3} = \frac{4}{15}$

Final Answer:
1. $\frac{7}{60}$
2. $\frac{2}{27}$
3. $\frac{1}{12}$
4. $\frac{5}{12}$
5. $\frac{9}{35}$
6. $\frac{1}{7}$
7. $\frac{7}{27}$
8. $\frac{5}{32}$
9. $\frac{1}{4}$
10. $\frac{1}{16}$
11. $\frac{1}{8}$
12. $\frac{3}{25}$
13. $\frac{1}{35}$
14. $\frac{5}{16}$
15. $\frac{34}{39}$
16. $\frac{1}{7}$
17. $\frac{8}{21}$
18. $\frac{4}{15}$