1. $$ \frac{7}{8} imes \frac{2}{3}=\frac{\square imes 2}{8 imes \square}=\frac{\square}{24}=\frac{\square}{\square} $$ 2. $$ \frac{3}{4} imes \frac{5}{9}=\frac{\square imes 5}{4 imes \square}=\frac{15}{\square}=\frac{\square}{\square} $$ 3. $$ \frac{4}{5} imes \frac{1}{8}=\frac{\square imes 1}{5 imes \square}=\frac{\square}{\square}= $$ $$ \square $$ 5. $$ \frac{3}{5} imes \frac{3}{7}=\frac{\square imes \square}{\square imes \square}= $$ $$ \square $$ 7. $$ \frac{11}{12} imes \frac{2}{5} $$ 8. $$ \frac{2}{3} imes \frac{4}{5} $$ 9. $$ \frac{1}{6} imes \frac{2}{3} $$ 10. $$ \frac{3}{4} $$ of $$ \frac{1}{2} $$

Question

1. $$ \frac{7}{8} 	imes \frac{2}{3}=\frac{\square 	imes 2}{8 	imes \square}=\frac{\square}{24}=\frac{\square}{\square} $$ 2. $$ \frac{3}{4} 	imes \frac{5}{9}=\frac{\square 	imes 5}{4 	imes \square}=\frac{15}{\square}=\frac{\square}{\square} $$ 3. $$ \frac{4}{5} 	imes \frac{1}{8}=\frac{\square 	imes 1}{5 	imes \square}=\frac{\square}{\square}= $$ $$ \square $$ 5. $$ \frac{3}{5} 	imes \frac{3}{7}=\frac{\square 	imes \square}{\square 	imes \square}= $$ $$ \square $$ 7. $$ \frac{11}{12} 	imes \frac{2}{5} $$ 8. $$ \frac{2}{3} 	imes \frac{4}{5} $$ 9. $$ \frac{1}{6} 	imes \frac{2}{3} $$ 10. $$ \frac{3}{4} $$ of $$ \frac{1}{2} $$

UpStudy AI · Accepted Answer

Let's solve each of the problems step by step.

### Problem 1
$$
\frac{7}{8} \times \frac{2}{3} = \frac{7 \times 2}{8 \times 3} = \frac{14}{24}
$$
Now, we can simplify $$\frac{14}{24}$$:
$$
\frac{14 \div 2}{24 \div 2} = \frac{7}{12}
$$
So, the final answer is:
$$
\frac{7}{12}
$$

### Problem 2
$$
\frac{3}{4} \times \frac{5}{9} = \frac{3 \times 5}{4 \times 9} = \frac{15}{36}
$$
Now, we can simplify $$\frac{15}{36}$$:
$$
\frac{15 \div 3}{36 \div 3} = \frac{5}{12}
$$
So, the final answer is:
$$
\frac{5}{12}
$$

### Problem 3
$$
\frac{4}{5} \times \frac{1}{8} = \frac{4 \times 1}{5 \times 8} = \frac{4}{40}
$$
Now, we can simplify $$\frac{4}{40}$$:
$$
\frac{4 \div 4}{40 \div 4} = \frac{1}{10}
$$
So, the final answer is:
$$
\frac{1}{10}
$$

### Problem 5
$$
\frac{3}{5} \times \frac{3}{7} = \frac{3 \times 3}{5 \times 7} = \frac{9}{35}
$$
So, the final answer is:
$$
\frac{9}{35}
$$

### Problem 7
$$
\frac{11}{12} \times \frac{2}{5} = \frac{11 \times 2}{12 \times 5} = \frac{22}{60}
$$
Now, we can simplify $$\frac{22}{60}$$:
$$
\frac{22 \div 2}{60 \div 2} = \frac{11}{30}
$$
So, the final answer is:
$$
\frac{11}{30}
$$

### Problem 8
$$
\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}
$$
So, the final answer is:
$$
\frac{8}{15}
$$

### Problem 9
$$
\frac{1}{6} \times \frac{2}{3} = \frac{1 \times 2}{6 \times 3} = \frac{2}{18}
$$
Now, we can simplify $$\frac{2}{18}$$:
$$
\frac{2 \div 2}{18 \div 2} = \frac{1}{9}
$$
So, the final answer is:
$$
\frac{1}{9}
$$

### Problem 10
$$
\frac{3}{4} \text{ of } \frac{1}{2} = \frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}
$$
So, the final answer is:
$$
\frac{3}{8}
$$

### Summary of Answers
1. $$\frac{7}{12}$$
2. $$\frac{5}{12}$$
3. $$\frac{1}{10}$$
4. $$\frac{9}{35}$$
5. $$\frac{11}{30}$$
6. $$\frac{8}{15}$$
7. $$\frac{1}{9}$$
8. $$\frac{3}{8}$$
1. $$\frac{7}{12}$$ 2. $$\frac{5}{12}$$ 3. $$\frac{1}{10}$$ 4. $$\frac{9}{35}$$ 5. $$\frac{11}{30}$$ 6. $$\frac{8}{15}$$ 7. $$\frac{1}{9}$$ 8. $$\frac{3}{8}$$

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