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Can you show the work and give me the answer

I can help you solve this worksheet by converting the fractions to decimals, showing the steps for each, and answering the questions provided.

### Instructions:
The task is to convert the fractions into decimals and indicate whether the decimal **terminates (T)** or **repeats (R)**. Then, the five fractions with owls need to be ordered from least to greatest.

#### Fractions to convert:

1. **(Given) Example: \( \frac{3}{4} = 0.75 \)**
   - **Terminating (T)**

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Let's proceed with the rest:

#### Row 1:
2. \( \frac{3}{8} \):
   - Divide: \( 3 \div 8 = 0.375 \)
   - **Terminating (T)**

3. \( \frac{2}{3} \):
   - Divide: \( 2 \div 3 = 0.\overline{6} \)
   - **Repeating (R)**

4. \( \frac{1}{6} \):
   - Divide: \( 1 \div 6 = 0.1\overline{6} \)
   - **Repeating (R)**

5. \( \frac{5}{8} \):
   - Divide: \( 5 \div 8 = 0.625 \)
   - **Terminating (T)**

#### Row 2:
6. \( \frac{3}{10} \):
   - Divide: \( 3 \div 10 = 0.3 \)
   - **Terminating (T)**

7. \( \frac{2}{7} \):
   - Divide: \( 2 \div 7 = 0.\overline{285714} \)
   - **Repeating (R)**

8. \( \frac{1}{5} \):
   - Divide: \( 1 \div 5 = 0.2 \)
   - **Terminating (T)**

9. \( \frac{1}{5} \) (Again):
   - Same as Box 8, \( 0.2 \)
   - **Terminating (T)**

10. \( \frac{1}{4} \):
   - Divide: \( 1 \div 4 = 0.25 \)
   - **Terminating (T)**

#### Row 3:
11. \( \frac{3}{5} \):
    - Divide: \( 3 \div 5 = 0.6 \)
    - **Terminating (T)**

12. \( \frac{1}{2} \):
    - Divide: \( 1 \div 2 = 0.5 \)
    - **Terminating (T)**

13. \( \frac{4}{33} \):
    - Divide: \( 4 \div 33 = 0.\overline{1212} \)
    - **Repeating (R)**

14. \( \frac{7}{12} \):
    - Divide: \( 7 \div 12 = 0.58\overline{3} \)
    - **Repeating (R)**

15. \( \frac{2}{9} \):
    - Divide: \( 2 \div 9 = 0.\overline{2} \)
    - **Repeating (R)**

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### Step 2: Five fractions with owls
- Boxes with owls: \( \frac{2}{3} \), \( \frac{3}{10} \), \( \frac{1}{5} \), \( \frac{7}{12} \), \( \frac{1}{4} \)

### Order them from least to greatest:
- \( \frac{1}{5} = 0.2 \)
- \( \frac{1}{4} = 0.25 \)
- \( \frac{3}{10} = 0.3 \)
- \( \frac{7}{12} = 0.58\overline{3} \)
- \( \frac{2}{3} = 0.\overline{6} \)

### Final answer in order:
1. \( \frac{1}{5} \)
2. \( \frac{1}{4} \)
3. \( \frac{3}{10} \)
4. \( \frac{7}{12} \)
5. \( \frac{2}{3} \)

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Would you like more details or clarification on any step?

### Related questions:
1. How do you determine if a decimal is repeating or terminating?
2. What method can you use to convert any fraction to a decimal?
3. How can you compare fractions or decimals to order them correctly?
4. Why do some fractions result in repeating decimals?
5. What is the significance of place value in ordering decimals?

### Tip:
When comparing decimals, always line them up by place value (tenths, hundredths, etc.) to make it easier to see which is greater.

Can you show the work and give me the answer?

This worksheet involves converting fractions into decimals, identifying whether the decimals terminate or repeat, and ordering them from least to greatest. Includes step-by-step solutions for fractions like 3/8, 2/3, and 1/5.

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