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To order these numbers from least to greatest, we first need to convert all the values into either decimal form or a common fraction format for easy comparison.

The numbers given are:

1. \( \frac{6 \frac{7}{20}}{} \) or \( 6 \frac{7}{20} \)
2. \( \frac{27}{5} \)
3. \( 5.38 \)
4. \( 5.365 \)

### Step 1: Convert the fractions to decimal form.

1. \( 6 \frac{7}{20} \)
   - Convert the mixed number: \( 6 + \frac{7}{20} \)
   - \( \frac{7}{20} = 0.35 \)
   - \( 6 + 0.35 = 6.35 \)

2. \( \frac{27}{5} \)
   - Divide 27 by 5: \( \frac{27}{5} = 5.4 \)

### Step 2: Compare the decimal values.

- \( 6.35 \)
- \( 5.4 \)
- \( 5.38 \)
- \( 5.365 \)

### Step 3: Arrange them from least to greatest.

The numbers in increasing order are:
1. \( 5.365 \)
2. \( 5.38 \)
3. \( 5.4 \) (or \( \frac{27}{5} \))
4. \( 6.35 \) (or \( 6 \frac{7}{20} \))

### Final Order:
\[ 5.365 < 5.38 < \frac{27}{5} < 6 \frac{7}{20} \]

Would you like more details on any of these steps? Let me know if you have any questions!

Here are 5 related questions you might want to explore:
1. How do you convert mixed numbers into improper fractions?
2. How can you compare fractions without converting them to decimals?
3. How do you add fractions with different denominators?
4. What is the significance of decimal precision when comparing numbers?
5. How do you convert repeating decimals into fractions?

**Tip:** When comparing fractions and decimals, converting all values to the same form makes it easier to compare them.

Order these numbers from least to greatest: 6 7/20, 27/5, 5.38, 5.365.

Learn how to order numbers like 6 7/20, 27/5, 5.38, and 5.365 from least to greatest by converting fractions to decimals and comparing. Perfect for students in Grades 5-7.

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