It looks like you've uploaded a worksheet titled
"Comparing Fractions" with several fraction comparison problems. The goal is to compare two fractions in each box and determine which one is greater, less than, or equal to the other. Students are instructed to use
fraction bars (visual models) if needed.
Let’s go through each problem step by step and solve it.
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🔹 Problem 1:
3/4 ○ 2/5
We need to compare 3/4 and 2/5.
- Find a common denominator: The least common denominator (LCD) of 4 and 5 is
20.
- Convert both fractions:
- 3/4 = (3×5)/(4×5) =
15/20
- 2/5 = (2×4)/(5×4) =
8/20
- Now compare: 15/20 > 8/20 → So,
3/4 > 2/5
✔ Answer:
3/4 > 2/5
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🔹 Problem 2:
6/7 ○ 2/8
Simplify and compare:
- 2/8 simplifies to
1/4
- Compare 6/7 and 1/4
- LCD of 7 and 4 is 28
- 6/7 = (6×4)/(7×4) =
24/28
- 1/4 = (1×7)/(4×7) =
7/28
- 24/28 > 7/28 → So,
6/7 > 2/8
✔ Answer:
6/7 > 2/8
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🔹 Problem 3:
2/3 ○ 4/4
Note: 4/4 = 1
Now compare 2/3 and 1
- 2/3 < 1 → So,
2/3 < 4/4
✔ Answer:
2/3 < 4/4
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🔹 Problem 4:
8/8 ○ 3/6
Simplify both:
- 8/8 = 1
- 3/6 = 1/2
- 1 > 1/2 → So,
8/8 > 3/6
✔ Answer:
8/8 > 3/6
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🔹 Problem 5:
2/4 ○ 1/2
Simplify 2/4 → 1/2
So, 1/2 = 1/2 →
Equal
✔ Answer:
2/4 = 1/2
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🔹 Problem 6:
3/4 ○ 4/8
Simplify 4/8 → 1/2
Compare 3/4 and 1/2
- 3/4 = 0.75, 1/2 = 0.5 → 3/4 > 1/2
- Or using common denominator: LCD of 4 and 8 is 8
- 3/4 = 6/8
- 4/8 = 4/8
- 6/8 > 4/8 → So,
3/4 > 4/8
✔ Answer:
3/4 > 4/8
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✔ Final Answers:
| Problem | Comparison |
|--------|------------|
| 1. 3/4 ○ 2/5 |
> |
| 2. 6/7 ○ 2/8 |
> |
| 3. 2/3 ○ 4/4 |
< |
| 4. 8/8 ○ 3/6 |
> |
| 5. 2/4 ○ 1/2 |
= |
| 6. 3/4 ○ 4/8 |
> |
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📝 Explanation for Students:
To compare fractions:
1.
Simplify if possible.
2. Use
common denominators to make the fractions easier to compare.
3. Compare the numerators.
4. Use visual models (like fraction bars) if needed — for example, draw two bars divided into 4 parts and shade 3 for 3/4, then another bar divided into 5 parts and shade 2 for 2/5 — visually you can see that 3/4 takes up more space.
This helps build number sense and understanding of fraction size.
Let me know if you'd like a printable version with fraction bars drawn!
Parent Tip: Review the logic above to help your child master the concept of comparing fractions worksheet 3rd grade.
