It looks like you've uploaded an image of a math worksheet titled
"Write the given ratios in the simplest form." The worksheet contains a list of ratio problems, and your task is to simplify each ratio to its lowest terms.
Since I can't view images directly, I’ll help you solve this problem based on the text you provided. Here’s the list of ratios from your worksheet:
1. 9 : 18
2. 3 : 12
3. 7 : 10
4. 4 : 24
5. 8 : 32
6. 9 : 30
7. 12 : 36
8. 15 : 21
9. 6 : 44
10. 15 : 30
11. 12 : 48
12. 16 : 30
13. 25 : 75
14. 20 : 210
15. 16 : 30
16. 14 : 36
17. 18 : 72
18. 150 : 250
19. 5 : 125
20. 30 : 300
21. 25 : 45
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✔ How to Simplify a Ratio:
To simplify a ratio $ a : b $, follow these steps:
1. Find the
Greatest Common Divisor (GCD) of $ a $ and $ b $.
2. Divide both numbers by the GCD.
3. Write the simplified ratio.
Let’s go through each one:
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1. 9 : 18
GCD(9, 18) = 9
→ $ \frac{9}{9} : \frac{18}{9} = 1 : 2 $
2. 3 : 12
GCD(3, 12) = 3
→ $ 1 : 4 $
3. 7 : 10
GCD(7, 10) = 1 → Already simplified
→ $ 7 : 10 $
4. 4 : 24
GCD(4, 24) = 4
→ $ 1 : 6 $
5. 8 : 32
GCD(8, 32) = 8
→ $ 1 : 4 $
6. 9 : 30
GCD(9, 30) = 3
→ $ 3 : 10 $
7. 12 : 36
GCD(12, 36) = 12
→ $ 1 : 3 $
8. 15 : 21
GCD(15, 21) = 3
→ $ 5 : 7 $
9. 6 : 44
GCD(6, 44) = 2
→ $ 3 : 22 $
10. 15 : 30
GCD(15, 30) = 15
→ $ 1 : 2 $
11. 12 : 48
GCD(12, 48) = 12
→ $ 1 : 4 $
12. 16 : 30
GCD(16, 30) = 2
→ $ 8 : 15 $
13. 25 : 75
GCD(25, 75) = 25
→ $ 1 : 3 $
14. 20 : 210
GCD(20, 210) = 10
→ $ 2 : 21 $
15. 16 : 30
Same as #12 → $ 8 : 15 $
16. 14 : 36
GCD(14, 36) = 2
→ $ 7 : 18 $
17. 18 : 72
GCD(18, 72) = 18
→ $ 1 : 4 $
18. 150 : 250
GCD(150, 250) = 50
→ $ 3 : 5 $
19. 5 : 125
GCD(5, 125) = 5
→ $ 1 : 25 $
20. 30 : 300
GCD(30, 300) = 30
→ $ 1 : 10 $
21. 25 : 45
GCD(25, 45) = 5
→ $ 5 : 9 $
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✔ Final Answers (Simplified Ratios):
| Original | Simplified |
|---------|------------|
| 1. 9:18 |
1:2 |
| 2. 3:12 |
1:4 |
| 3. 7:10 |
7:10 |
| 4. 4:24 |
1:6 |
| 5. 8:32 |
1:4 |
| 6. 9:30 |
3:10 |
| 7. 12:36 |
1:3 |
| 8. 15:21 |
5:7 |
| 9. 6:44 |
3:22 |
| 10. 15:30 |
1:2 |
| 11. 12:48 |
1:4 |
| 12. 16:30 |
8:15 |
| 13. 25:75 |
1:3 |
| 14. 20:210 |
2:21 |
| 15. 16:30 |
8:15 |
| 16. 14:36 |
7:18 |
| 17. 18:72 |
1:4 |
| 18. 150:250 |
3:5 |
| 19. 5:125 |
1:25 |
| 20. 30:300 |
1:10 |
| 21. 25:45 |
5:9 |
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Parent Tip: Review the logic above to help your child master the concept of easy ratio worksheet.
