$$ \begin{array}{lll} ext { 3. } \frac{5}{6} imes 3=\frac{15}{6} & ext { 4. } \frac{5}{6} ext { of } 12=\frac{60}{6} & ext { 5. } \frac{3}{5} ext { of } 20= \ 5 imes 3=15 & 5 imes 12=60 & 3 imes 20=60 \ ext { 6. } \frac{2}{3} ext { of } 8=\frac{16}{3} & ext { 7. } \frac{2}{9} imes 3=\frac{6}{9} & ext { 8. } \frac{4}{7} imes 10=\frac{40}{7} \ 2 imes 8=16 & 2 imes 3=6 & 4 imes 10=40\end{array} $$

Question

$$ \begin{array}{lll}	ext { 3. } \frac{5}{6} 	imes 3=\frac{15}{6} & 	ext { 4. } \frac{5}{6} 	ext { of } 12=\frac{60}{6} & 	ext { 5. } \frac{3}{5} 	ext { of } 20= \ 5 	imes 3=15 & 5 	imes 12=60 & 3 	imes 20=60 \ 	ext { 6. } \frac{2}{3} 	ext { of } 8=\frac{16}{3} & 	ext { 7. } \frac{2}{9} 	imes 3=\frac{6}{9} & 	ext { 8. } \frac{4}{7} 	imes 10=\frac{40}{7} \ 2 	imes 8=16 & 2 	imes 3=6 & 4 	imes 10=40\end{array} $$

UpStudy AI · Accepted Answer

Let's go through each of the calculations step by step to ensure clarity and correctness.

### Problem 3: $$ \frac{5}{6} \times 3 $$

1. **Multiply the fraction by the whole number:**
   $$
   \frac{5}{6} \times 3 = \frac{5 \times 3}{6} = \frac{15}{6}
   $$

### Problem 4: $$ \frac{5}{6} \text{ of } 12 $$

1. **Calculate $$ \frac{5}{6} $$ of 12:**
   $$
   \frac{5}{6} \times 12 = \frac{5 \times 12}{6} = \frac{60}{6} = 10
   $$

### Problem 5: $$ \frac{3}{5} \text{ of } 20 $$

1. **Calculate $$ \frac{3}{5} $$ of 20:**
   $$
   \frac{3}{5} \times 20 = \frac{3 \times 20}{5} = \frac{60}{5} = 12
   $$

### Problem 6: $$ \frac{2}{3} \text{ of } 8 $$

1. **Calculate $$ \frac{2}{3} $$ of 8:**
   $$
   \frac{2}{3} \times 8 = \frac{2 \times 8}{3} = \frac{16}{3}
   $$

### Problem 7: $$ \frac{2}{9} \times 3 $$

1. **Multiply the fraction by the whole number:**
   $$
   \frac{2}{9} \times 3 = \frac{2 \times 3}{9} = \frac{6}{9} = \frac{2}{3} \text{ (simplified)}
   $$

### Problem 8: $$ \frac{4}{7} \times 10 $$

1. **Multiply the fraction by the whole number:**
   $$
   \frac{4}{7} \times 10 = \frac{4 \times 10}{7} = \frac{40}{7}
   $$

### Summary of Results:
- Problem 3: $$ \frac{15}{6} $$
- Problem 4: $$ 10 $$
- Problem 5: $$ 12 $$
- Problem 6: $$ \frac{16}{3} $$
- Problem 7: $$ \frac{2}{3} $$
- Problem 8: $$ \frac{40}{7} $$

If you have any further questions or need additional calculations, feel free to ask!
Here are the results: 1. $$ \frac{5}{6} \times 3 = \frac{15}{6} $$ 2. $$ \frac{5}{6} \text{ of } 12 = 10 $$ 3. $$ \frac{3}{5} \text{ of } 20 = 12 $$ 4. $$ \frac{2}{3} \text{ of } 8 = \frac{16}{3} $$ 5. $$ \frac{2}{9} \times 3 = \frac{2}{3} $$ 6. $$ \frac{4}{7} \times 10 = \frac{40}{7} $$

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Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

Problem 8:

Summary of Results:

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