Let's solve each of the given ratios and express them in
simplest form. To simplify a ratio, we divide both numbers by their
greatest common divisor (GCD).
---
1. 22 : 66
- GCD of 22 and 66 is
22
- $ \frac{22}{22} : \frac{66}{22} = 1 : 3 $
✔ Answer: 1 : 3
---
2. 7 : 49
- GCD of 7 and 49 is
7
- $ \frac{7}{7} : \frac{49}{7} = 1 : 7 $
✔ Answer: 1 : 7
---
3. 4 : 6
- GCD of 4 and 6 is
2
- $ \frac{4}{2} : \frac{6}{2} = 2 : 3 $
✔ Answer: 2 : 3
---
4. 6 : 15
- GCD of 6 and 15 is
3
- $ \frac{6}{3} : \frac{15}{3} = 2 : 5 $
✔ Answer: 2 : 5
---
5. 14 : 20
- GCD of 14 and 20 is
2
- $ \frac{14}{2} : \frac{20}{2} = 7 : 10 $
✔ Answer: 7 : 10
---
6. 33 : 44
- GCD of 33 and 44 is
11
- $ \frac{33}{11} : \frac{44}{11} = 3 : 4 $
✔ Answer: 3 : 4
---
7. 48 : 54
- GCD of 48 and 54 is
6
- $ \frac{48}{6} : \frac{54}{6} = 8 : 9 $
✔ Answer: 8 : 9
---
8. 200 : 250
- GCD of 200 and 250 is
50
- $ \frac{200}{50} : \frac{250}{50} = 4 : 5 $
✔ Answer: 4 : 5
---
✔ Final Answers:
1.
1 : 3
2.
1 : 7
3.
2 : 3
4.
2 : 5
5.
7 : 10
6.
3 : 4
7.
8 : 9
8.
4 : 5
Let me know if you'd like a step-by-step explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of reducing ratios worksheet.