Comparing Fractions 3rd Grade Worksheet | Educational Resource - Free Printable

Explanation:
We need to compare fractions using <, >, or =. Here’s how to do each one step by step.

1. Compare 2/5 and 2/3
- Same numerator (2), so the fraction with the *smaller denominator* is larger.
- 5 > 3 → so 2/5 < 2/3
✔ Answer: <

2. Compare 3/4 and 1/6
- Find common denominator: LCM of 4 and 6 is 12.
- 3/4 = 9/12, 1/6 = 2/12
- 9/12 > 2/12
✔ Answer: >

3. Compare 7/8 and 2/6
- Simplify 2/6 = 1/3
- Common denominator of 8 and 3 is 24.
- 7/8 = 21/24, 1/3 = 8/24
- 21/24 > 8/24
✔ Answer: >

4. Compare 2/3 and 1/4
- Common denominator: 12
- 2/3 = 8/12, 1/4 = 3/12
- 8/12 > 3/12
✔ Answer: >

5. Compare 1/5 and 2/8
- Simplify 2/8 = 1/4
- Compare 1/5 and 1/4 → same numerator, smaller denominator = bigger fraction
- 4 < 5 → so 1/4 > 1/5
✔ Answer: <

6. Compare 1/4 and 4/6
- Simplify 4/6 = 2/3
- Compare 1/4 and 2/3
- Common denominator: 12
- 1/4 = 3/12, 2/3 = 8/12
- 3/12 < 8/12
✔ Answer: <

7. Compare 1/3 and 3/5
- Common denominator: 15
- 1/3 = 5/15, 3/5 = 9/15
- 5/15 < 9/15
✔ Answer: <

8. Compare 1/8 and 1/4
- Same numerator (1), smaller denominator = bigger fraction
- 4 < 8 → so 1/4 > 1/8
✔ Answer: <

9. Compare 2/3 and 1/8
- Common denominator: 24
- 2/3 = 16/24, 1/8 = 3/24
- 16/24 > 3/24
✔ Answer: >

Now for coloring parts (just showing how many boxes to shade — but since this is text, we describe what the student should do):

10. 1/6 → 6 boxes total, shade 1
11. 1/2 → 6 boxes total, shade 3 (since 1/2 of 6 = 3)
12. 3/4 → 4 boxes total, shade 3
13. 1/2 → 2 boxes total, shade 1

But since the question only asks to *solve* the comparisons (items 1–9), and the coloring is visual (no answer format needed here), we focus on providing the correct symbols for 1–9.

Let me double-check all:

1. 2/5 = 0.4, 2/3 ≈ 0.666 → < ✔
2. 3/4 = 0.75, 1/6 ≈ 0.166 → > ✔
3. 7/8 = 0.875, 2/6 ≈ 0.333 → > ✔
4. 2/3 ≈ 0.666, 1/4 = 0.25 → > ✔
5. 1/5 = 0.2, 2/8 = 0.25 → < ✔
6. 1/4 = 0.25, 4/6 ≈ 0.666 → < ✔
7. 1/3 ≈ 0.333, 3/5 = 0.6 → < ✔
8. 1/8 = 0.125, 1/4 = 0.25 → < ✔
9. 2/3 ≈ 0.666, 1/8 = 0.125 → > ✔

All correct.

Final Answer:
1. <
2. >
3. >
4. >
5. <
6. <
7. <
8. <
9. >