Let’s solve each ratio step by step. We need to:
1. Convert both parts of the ratio to the
same unit.
2. Then simplify the ratio to its
lowest terms (like reducing a fraction).
We’ll go one by one.
---
1. 5 kg : 800 gm
→ Convert kg to gm: 5 kg = 5 × 1000 = 5000 gm
→ Ratio: 5000 : 800
→ Divide both by 200 → 25 : 4
✔ Final:
25 : 4
---
2. 3 cm : 2 m
→ Convert m to cm: 2 m = 2 × 100 = 200 cm
→ Ratio: 3 : 200
→ Already in lowest terms (no common factor)
✔ Final:
3 : 200
---
3. 3 m : 90 cm
→ Convert m to cm: 3 m = 3 × 100 = 300 cm
→ Ratio: 300 : 90
→ Divide both by 30 → 10 : 3
✔ Final:
10 : 3
---
4. 2 years : 9 months
→ Convert years to months: 2 years = 2 × 12 = 24 months
→ Ratio: 24 : 9
→ Divide both by 3 → 8 : 3
✔ Final:
8 : 3
---
5. 1 hour : 45 minutes
→ Convert hour to minutes: 1 hour = 60 minutes
→ Ratio: 60 : 45
→ Divide both by 15 → 4 : 3
✔ Final:
4 : 3
---
6. 4 minutes : 45 seconds
→ Convert minutes to seconds: 4 min = 4 × 60 = 240 seconds
→ Ratio: 240 : 45
→ Divide both by 15 → 16 : 3
✔ Final:
16 : 3
---
7. 75 cm : 3 m
→ Convert m to cm: 3 m = 3 × 100 = 300 cm
→ Ratio: 75 : 300
→ Divide both by 75 → 1 : 4
✔ Final:
1 : 4
---
8. 200 m : 5 km
→ Convert km to m: 5 km = 5 × 1000 = 5000 m
→ Ratio: 200 : 5000
→ Divide both by 200 → 1 : 25
✔ Final:
1 : 25
---
9. 50 min : 1½ hour
→ Convert 1½ hour to minutes: 1.5 × 60 = 90 minutes
→ Ratio: 50 : 90
→ Divide both by 10 → 5 : 9
✔ Final:
5 : 9
---
10. 3 hours : 1 day
→ Convert day to hours: 1 day = 24 hours
→ Ratio: 3 : 24
→ Divide both by 3 → 1 : 8
✔ Final:
1 : 8
---
11. 200 g : 1 kilogram
→ Convert kg to g: 1 kg = 1000 g
→ Ratio: 200 : 1000
→ Divide both by 200 → 1 : 5
✔ Final:
1 : 5
---
Final Answer:
1. 25 : 4
2. 3 : 200
3. 10 : 3
4. 8 : 3
5. 4 : 3
6. 16 : 3
7. 1 : 4
8. 1 : 25
9. 5 : 9
10. 1 : 8
11. 1 : 5
Parent Tip: Review the logic above to help your child master the concept of simplifying ratio worksheet for grade 7.
