Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let's solve each pair of ratios to determine if they are equivalent. Two ratios are equivalent if their simplified forms are the same or if their cross-products are equal.

We'll go through each pair one by one and answer with "yes" or "no".

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1. 5 : 20 and 1 : 4

- Simplify 5:20 → divide both by 5 → 1:4
- Compare to 1:4 → Same
✔ Yes

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2. 30 : 10 and 10 : 30

- Simplify 30:10 → 3:1
- Simplify 10:30 → 1:3
- 3:1 ≠ 1:3
✘ No

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3. 2 : 12 and 12 : 60

- Simplify 2:12 → 1:6
- Simplify 12:60 → divide by 12 → 1:5
- 1:6 ≠ 1:5
✘ No

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4. 50 : 100 and 25 : 50

- 50:100 → 1:2
- 25:50 → 1:2
✔ Yes

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5. 10 : 20 and 100 : 300

- 10:20 → 1:2
- 100:300 → 1:3
- 1:2 ≠ 1:3
✘ No

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6. 4 : 16 and 15 : 60

- 4:16 → 1:4
- 15:60 → 1:4
✔ Yes

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7. 5 : 25 and 4 : 18

- 5:25 → 1:5
- 4:18 → 2:9
- 1:5 ≠ 2:9
✘ No

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8. 10 : 60 and 6 : 36

- 10:60 → 1:6
- 6:36 → 1:6
✔ Yes

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9. 3 : 24 and 8 : 64

- 3:24 → 1:8
- 8:64 → 1:8
✔ Yes

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10. 10 : 50 and 100 : 450

- 10:50 → 1:5
- 100:450 → divide by 50 → 2:9
- 1:5 ≠ 2:9
✘ No

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11. 3 : 2 and 30 : 22

- 3:2 → already simplified
- 30:22 → divide by 2 → 15:11
- 3:2 ≠ 15:11
✘ No

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12. 3 : 5 and 21 : 35

- 3:5 → stays same
- 21:35 → divide by 7 → 3:5
✔ Yes

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13. 10 : 25 and 30 : 75

- 10:25 → divide by 5 → 2:5
- 30:75 → divide by 15 → 2:5
✔ Yes

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14. 10 : 45 and 15 : 60

- 10:45 → divide by 5 → 2:9
- 15:60 → divide by 15 → 1:4
- 2:9 ≠ 1:4
✘ No

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✔ Final Answers (in order):

1. Yes
2. No
3. No
4. Yes
5. No
6. Yes
7. No
8. Yes
9. Yes
10. No
11. No
12. Yes
13. Yes
14. No

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Summary:

To check if two ratios are equivalent:
- Simplify both ratios.
- Or use cross-multiplication: $ a:b = c:d $ if $ a \times d = b \times c $

This method ensures accuracy.

Let me know if you'd like this in a printable format!