Worksheet for practicing fraction comparison using cross multiplication method.

To compare fractions using cross-multiplication, we multiply the numerator of one fraction by the denominator of the other. Then we compare the two products.

Let’s go through each problem step by step:

---

1. 3/5 ○ 2/6

Cross multiply:
3 × 6 = 18
2 × 5 = 10
18 > 10 → so 3/5 > 2/6

Answer: >

---

2. 2/5 ○ 3/6

Cross multiply:
2 × 6 = 12
3 × 5 = 15
12 < 15 → so 2/5 < 3/6

Answer: <

---

3. 5/5 ○ 5/3

Cross multiply:
5 × 3 = 15
5 × 5 = 25
15 < 25 → so 5/5 < 5/3

Wait — let’s double-check:
Actually, 5/5 = 1 and 5/3 ≈ 1.666… so yes, 1 < 1.666… → correct.

But cross multiplication:
Left side: 5 (numerator) × 3 (denominator of right) = 15
Right side: 5 (numerator of right) × 5 (denominator of left) = 25
So 15 < 25 → meaning 5/5 < 5/3 → Correct.

Answer: <

---

4. 2/6 ○ 2/4

Cross multiply:
2 × 4 = 8
2 × 6 = 12
8 < 12 → so 2/6 < 2/4

Answer: <

---

5. 3/6 ○ 5/6

Same denominator? Yes! But we’ll use cross multiply as instructed.

Cross multiply:
3 × 6 = 18
5 × 6 = 30
18 < 30 → so 3/6 < 5/6

Answer: <

---

6. 3/6 ○ 3/6

Cross multiply:
3 × 6 = 18
3 × 6 = 18
18 = 18 → so 3/6 = 3/6

Answer: =

---

7. 4/6 ○ 3/6

Cross multiply:
4 × 6 = 24
3 × 6 = 18
24 > 18 → so 4/6 > 3/6

Answer: >

---

8. 5/6 ○ 6/6

Cross multiply:
5 × 6 = 30
6 × 6 = 36
30 < 36 → so 5/6 < 6/6

Answer: <

---

9. 4/5 ○ 5/5

Cross multiply:
4 × 5 = 20
5 × 5 = 25
20 < 25 → so 4/5 < 5/5

Answer: <

---

10. 2/6 ○ 6/2

Cross multiply:
2 × 2 = 4
6 × 6 = 36
4 < 36 → so 2/6 < 6/2

Note: 6/2 = 3, which is much bigger than 2/6 (~0.33), so makes sense.

Answer: <

---

11. 3/5 ○ 2/6 ← Wait, this is same as #1? Let me check the image again.

Looking back at original list:

The problems are numbered 1 to 12.

In the user's image transcription:

> 1. 3/5 ○ 2/6
> 2. 2/5 ○ 3/6
> 3. 5/5 ○ 5/3
> 4. 2/6 ○ 2/4
> 5. 3/6 ○ 5/6
> 6. 3/6 ○ 3/6
> 7. 4/6 ○ 3/6
> 8. 5/6 ○ 6/6
> 9. 4/5 ○ 5/5
> 10. 2/6 ○ 6/2
> 11. 3/5 ○ 2/6 ← Same as #1? That can’t be right.

Wait — looking again at the original text provided:

User wrote:

> 1. 3/5 ○ 2/6
> 2. 2/5 ○ 3/6
> 3. 5/5 ○ 5/3
> 4. 2/6 ○ 2/4
> 5. 3/6 ○ 5/6
> 6. 3/6 ○ 3/6
> 7. 4/6 ○ 3/6
> 8. 5/6 ○ 6/6
> 9. 4/5 ○ 5/5
> 10. 2/6 ○ 6/2
> 11. 3/5 ○ 2/6 ← This must be a typo in user input? Or maybe it’s different?

Wait — in the actual image description, perhaps #11 is different? But since I don’t have the image, I must rely on what was typed.

Looking back at user’s message:

They wrote:

> 1. 3/5 ○ 2/6
> ...
> 11. 3/5 ○ 2/6 ← same as #1? That seems odd.

Wait — no, in the original problem set from the worksheet, likely #11 is different. But since the user copied it as “3/5 ○ 2/6” for both #1 and #11, that might be an error.

Alternatively, perhaps #11 is “3/5 ○ 2/5”? Or something else?

Wait — let me re-read the user’s input carefully:

User wrote:

> 1. 3/5 ○ 2/6
> 2. 2/5 ○ 3/6
> 3. 5/5 ○ 5/3
> 4. 2/6 ○ 2/4
> 5. 3/6 ○ 5/6
> 6. 3/6 ○ 3/6
> 7. 4/6 ○ 3/6
> 8. 5/6 ○ 6/6
> 9. 4/5 ○ 5/5
> 10. 2/6 ○ 6/2
> 11. 3/5 ○ 2/6 ← again?
> 12. 1/3 ○ 3/3

Ah — #12 is given: 1/3 ○ 3/3

So probably #11 is meant to be different. But since the user typed “3/5 ○ 2/6” for #11, I’ll assume it’s a repeat or typo. However, in standard worksheets, they wouldn’t repeat.

Wait — looking at the very first example in the worksheet:

It shows: 3/8 vs 2/6 → cross multiply 3×6=18, 2×8=16 → 18>16 → 3/8 > 2/6

Then the practice starts with #1: 3/5 vs 2/6 — which we did.

Perhaps #11 is actually “3/5 vs 2/5”? Or “3/6 vs 2/5”? Without image, hard to tell.

But in the user’s text, they explicitly wrote:

> 11. 3/5 ○ 2/6

Same as #1. So unless it’s a mistake, I’ll treat it as identical.

But that would mean answer is same as #1: >

However, let’s check #12:

12. 1/3 ○ 3/3

Cross multiply:
1 × 3 = 3
3 × 3 = 9
3 < 9 → so 1/3 < 3/3

Answer: <

Now, if #11 is indeed 3/5 vs 2/6, then same as #1: >

But to avoid duplication, perhaps the user made a typo. In many such worksheets, #11 might be “3/5 vs 2/5” or similar.

Given the constraints, I will proceed with what is written.

So summarizing all answers:

1. >
2. <
3. <
4. <
5. <
6. =
7. >
8. <
9. <
10. <
11. > (same as #1)
12. <

But wait — let me verify #3 again: 5/5 vs 5/3

5/5 = 1, 5/3 ≈ 1.666 → so 1 < 1.666 → correct, <

#10: 2/6 vs 6/2 → 2/6 = 1/3 ≈ 0.333, 6/2 = 3 → definitely <

All seem correct.

Final Answer:

1. >
2. <
3. <
4. <
5. <
6. =
7. >
8. <
9. <
10. <
11. >
12. <

──────────────────────────────────────

Final Answer:
1. >
2. <
3. <
4. <
5. <
6. =
7. >
8. <
9. <
10. <
11. >
12. <