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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.
Solución
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!
Revisado y aprobado por el equipo de tutoría de UpStudy
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