Comparing Fractions worksheet with shaded fraction strips and comparison exercises.

Let's solve each part of this "Comparing Fractions" worksheet step by step. The goal is to:

1. Shade the fraction strips to represent each fraction.
2. Compare the two fractions in each pair using <, >, or =.

We’ll go through each problem and explain how to compare the fractions.

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a. Compare: 2/3 vs. 5/6

- Top strip: 3 parts, each labeled 1/3 → shade 2 of them → represents 2/3
- Bottom strip: 6 parts, each labeled 1/6 → shade 5 of them → represents 5/6

Now compare:
- Convert both to same denominator (LCM of 3 and 6 is 6):
- 2/3 = 4/6
- 5/6 = 5/6
- Since 4/6 < 5/6 → 2/3 < 5/6

✔ Answer: 2/3 < 5/6

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b. Compare: 1/2 vs. 3/10

- Top strip: 2 parts, each 1/2 → shade 1 → represents 1/2
- Bottom strip: 10 parts, each 1/10 → shade 3 → represents 3/10

Compare:
- Convert to same denominator (LCM of 2 and 10 is 10):
- 1/2 = 5/10
- 3/10 = 3/10
- Since 5/10 > 3/10 → 1/2 > 3/10

✔ Answer: 1/2 > 3/10

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c. Compare: 6/8 vs. 3/4

- Top strip: 8 parts, each 1/8 → shade 6 → represents 6/8
- Bottom strip: 4 parts, each 1/4 → shade 3 → represents 3/4

Compare:
- Simplify or convert:
- 6/8 = 3/4 (both simplify to the same)
- So, 6/8 = 3/4

✔ Answer: 6/8 = 3/4

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d. Compare: 5/6 vs. 1/2

- Top strip: 6 parts, each 1/6 → shade 5 → represents 5/6
- Bottom strip: 2 parts, each 1/2 → shade 1 → represents 1/2

Compare:
- Convert to common denominator (LCM of 6 and 2 is 6):
- 5/6 = 5/6
- 1/2 = 3/6
- Since 5/6 > 3/6 → 5/6 > 1/2

✔ Answer: 5/6 > 1/2

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e. Compare: 7/12 vs. 7/10

- Top strip: 12 parts, each 1/12 → shade 7 → represents 7/12
- Bottom strip: 10 parts, each 1/10 → shade 7 → represents 7/10

Compare:
- Same numerator (7), so compare denominators:
- Smaller denominator → larger fraction
- 10 < 12 → so 7/10 > 7/12
- Or use decimals:
- 7/12 ≈ 0.583
- 7/10 = 0.7
- So, 7/12 < 7/10

✔ Answer: 7/12 < 7/10

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f. Compare: 4/5 vs. 8/10

- Top strip: 5 parts, each 1/5 → shade 4 → represents 4/5
- Bottom strip: 10 parts, each 1/10 → shade 8 → represents 8/10

Compare:
- Simplify 8/10 = 4/5
- So, 4/5 = 8/10

✔ Answer: 4/5 = 8/10

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✔ Final Answers:

| Problem | Comparison |
|--------|------------|
| a. | 2/3 < 5/6 |
| b. | 1/2 > 3/10 |
| c. | 6/8 = 3/4 |
| d. | 5/6 > 1/2 |
| e. | 7/12 < 7/10 |
| f. | 4/5 = 8/10 |

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📝 Instructions for Shading (if you're filling it out):

- For each fraction, shade the corresponding number of unit pieces in the strip.
- Example: For 2/3 → shade 2 out of 3 large boxes labeled 1/3.
- For 5/6 → shade 5 out of 6 small boxes labeled 1/6.

This visual helps see which fraction takes up more space.

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Let me know if you'd like a printable version with shaded answers!