Pregunta
Find the equivalent fraction and decimal. 1. \( 7 \% \) 2. \( 12 \% \) 3. \( 115 \% \) 4. \( 0.07 \% \) 5. 8.2\%
Ask by Carroll Pena. in the United States
Feb 06,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Here are the equivalent fractions and decimals for each percentage:
1. **7%**
- Fraction: \( \frac{7}{100} \)
- Decimal: 0.07
2. **12%**
- Fraction: \( \frac{3}{25} \)
- Decimal: 0.12
3. **115%**
- Fraction: \( \frac{23}{20} \)
- Decimal: 1.15
4. **0.07%**
- Fraction: \( \frac{7}{10000} \)
- Decimal: 0.0007
5. **8.2%**
- Fraction: \( \frac{41}{500} \)
- Decimal: 0.082
Solución
Sure! Let's find the equivalent fractions and decimal representations for each of the given percentages.
### 1. \( 7\% \)
- **Equivalent Fraction:**
\( \frac{7}{100} \)
(Already in simplest form)
- **Decimal:**
\( 0.07 \)
---
### 2. \( 12\% \)
- **Equivalent Fraction:**
\( \frac{12}{100} = \frac{3}{25} \)
(Simplified by dividing numerator and denominator by 4)
- **Decimal:**
\( 0.12 \)
---
### 3. \( 115\% \)
- **Equivalent Fraction:**
\( \frac{115}{100} = \frac{23}{20} \)
(Simplified by dividing numerator and denominator by 5)
- **Decimal:**
\( 1.15 \)
---
### 4. \( 0.07\% \)
- **Equivalent Fraction:**
\( \frac{0.07}{100} = \frac{7}{10000} \)
(Converted by multiplying numerator and denominator by 100 to eliminate the decimal)
- **Decimal:**
\( 0.0007 \)
---
### 5. \( 8.2\% \)
- **Equivalent Fraction:**
\( \frac{8.2}{100} = \frac{82}{1000} = \frac{41}{500} \)
(Simplified by dividing numerator and denominator by 2)
- **Decimal:**
\( 0.082 \)
---
If you need further clarification or assistance, feel free to ask!
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
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Extra Insights
To convert percentages to fractions, you can start by writing the percentage as a fraction over 100 and then simplify. For decimals, simply convert the percentage by dividing by 100. 1. \( 7\% = \frac{7}{100} = 0.07 \) 2. \( 12\% = \frac{12}{100} = 0.12 \) 3. \( 115\% = \frac{115}{100} = 1.15 \) 4. \( 0.07\% = \frac{0.07}{100} = \frac{7}{10000} = 0.0007 \) 5. \( 8.2\% = \frac{8.2}{100} = 0.082 \) Now, you've got both equivalent fractions and decimals!
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