Answer
Here are the simplified ratios:
1. **2.2. 5 c to R1.00:**
\[ 1\,:\,20 \]
2. **2.3. 25 c to R1.50:**
\[ 1\,:\,6 \]
3. **2.4. 2 Years to 9 Months:**
\[ 8\,:\,3 \]
4. **2.5. 3 Seconds to 2 Hours:**
\[ 1\,:\,2400 \]
5. **2.6. 2 mm to 1 m:**
\[ 1\,:\,500 \]
6. **2.7. 2 kg to 750 g:**
\[ 8\,:\,3 \]
If there's more to **2.1**, please provide the details for further simplification.
Solution
Sure! Let's simplify each of the given ratios step by step.
---
### **2.2. 5 c to R1.00**
1. **Convert to the same unit (cents):**
- R1.00 = 100 c
2. **Set up the ratio:**
- 5 c : 100 c
3. **Simplify the ratio:**
- Divide both numbers by 5:
- \( \frac{5}{5} : \frac{100}{5} = 1 : 20 \)
**Simplest Form:**
\[ \boxed{1\,:\,20} \]
---
### **2.3. 25 c to R1.50**
1. **Convert to the same unit (cents):**
- R1.50 = 150 c
2. **Set up the ratio:**
- 25 c : 150 c
3. **Simplify the ratio:**
- Divide both numbers by 25:
- \( \frac{25}{25} : \frac{150}{25} = 1 : 6 \)
**Simplest Form:**
\[ \boxed{1\,:\,6} \]
---
### **2.4. 2 Years to 9 Months**
1. **Convert to the same unit (months):**
- 2 years = 24 months
2. **Set up the ratio:**
- 24 months : 9 months
3. **Simplify the ratio:**
- Divide both numbers by 3:
- \( \frac{24}{3} : \frac{9}{3} = 8 : 3 \)
**Simplest Form:**
\[ \boxed{8\,:\,3} \]
---
### **2.5. 3 Seconds to 2 Hours**
1. **Convert to the same unit (seconds):**
- 2 hours = 2 × 60 × 60 = 7,200 seconds
2. **Set up the ratio:**
- 3 seconds : 7,200 seconds
3. **Simplify the ratio:**
- Divide both numbers by 3:
- \( \frac{3}{3} : \frac{7200}{3} = 1 : 2,400 \)
**Simplest Form:**
\[ \boxed{1\,:\,2400} \]
---
### **2.6. 2 mm to 1 m**
1. **Convert to the same unit (millimeters):**
- 1 meter = 1,000 millimeters
2. **Set up the ratio:**
- 2 mm : 1,000 mm
3. **Simplify the ratio:**
- Divide both numbers by 2:
- \( \frac{2}{2} : \frac{1000}{2} = 1 : 500 \)
**Simplest Form:**
\[ \boxed{1\,:\,500} \]
---
### **2.7. 2 kg to 750 g**
1. **Convert to the same unit (grams):**
- 2 kilograms = 2,000 grams
2. **Set up the ratio:**
- 2,000 g : 750 g
3. **Simplify the ratio:**
- Find the greatest common divisor (GCD) of 2,000 and 750, which is 250.
- Divide both numbers by 250:
- \( \frac{2000}{250} : \frac{750}{250} = 8 : 3 \)
**Simplest Form:**
\[ \boxed{8\,:\,3} \]
---
If **2.1** was intended to include additional information, please provide the details, and I'd be happy to help simplify that ratio as well!
Reviewed and approved by the UpStudy tutoring team
Explain
Simplify this solution
