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To order the fractions from smallest to largest, we first need to compare them. Here are the fractions:

- \( \frac{3}{8} \)
- \( \frac{7}{20} \)
- \( \frac{1}{4} \)
- \( \frac{5}{16} \)

### Step 1: Convert the fractions to have a common denominator
To make comparison easier, we convert all fractions to have the same denominator. The least common denominator (LCD) of 8, 20, 4, and 16 is 80.

- \( \frac{3}{8} = \frac{30}{80} \)
- \( \frac{7}{20} = \frac{28}{80} \)
- \( \frac{1}{4} = \frac{20}{80} \)
- \( \frac{5}{16} = \frac{25}{80} \)

### Step 2: Compare the numerators
Now that all the fractions have the same denominator, compare the numerators:

- \( \frac{20}{80} \) (smallest)
- \( \frac{25}{80} \)
- \( \frac{28}{80} \)
- \( \frac{30}{80} \) (largest)

### Step 3: Order the fractions
From smallest to largest:
- \( \frac{1}{4} \)
- \( \frac{5}{16} \)
- \( \frac{7}{20} \)
- \( \frac{3}{8} \)

So, the correct order of fractions from smallest to largest is:
\[ \frac{1}{4}, \frac{5}{16}, \frac{7}{20}, \frac{3}{8} \]

Would you like further details or have any questions?

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Here are 5 related questions to explore further:
1. How do you find the least common denominator (LCD) for any set of fractions?
2. Why is converting fractions to a common denominator important for comparison?
3. What are some strategies to estimate the size of a fraction without calculating exact values?
4. How can you compare fractions with different denominators without finding the LCD?
5. How does the decimal equivalent of each fraction relate to its size?

**Tip**: If you're comparing fractions mentally, it's sometimes helpful to estimate their decimal equivalents!

Write these fractions in order of size. Start with the smallest fraction: 3/8, 7/20, 1/4, 5/16

Learn how to order the fractions 3/8, 7/20, 1/4, and 5/16 from smallest to largest. This math problem uses the concept of Least Common Denominator (LCD) to compare fractions and is suitable for students in Grades 4-6.

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