Express each of the following fractions as percentage :
(i) `7/(25) " " (ii ) (5)/(8) " " (iii) (11) /(6) `

Answer

To express each of the given fractions as a percentage, we will follow a systematic approach. The general formula to convert a fraction to a percentage is:

\[ \text{Percentage} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100 \]

Let's solve each fraction step by step.

### (i) Convert \( \frac{7}{25} \) to a percentage

1. **Identify the fraction**: \( \frac{7}{25} \)
2. **Multiply by 100**:
\[ \frac{7}{25} \times 100 \]
3. **Simplify**:
\[ \frac{7 \times 100}{25} = \frac{700}{25} \]
4. **Perform the division**:
\[ 700 \div 25 = 28 \]
5. **Conclusion**:
\[ \frac{7}{25} = 28\% \]

### (ii) Convert \( \frac{5}{8} \) to a percentage

1. **Identify the fraction**: \( \frac{5}{8} \)
2. **Multiply by 100**:
\[ \frac{5}{8} \times 100 \]
3. **Simplify**:
\[ \frac{5 \times 100}{8} = \frac{500}{8} \]
4. **Perform the division**:
\[ 500 \div 8 = 62.5 \]
5. **Conclusion**:
\[ \frac{5}{8} = 62.5\% \]

### (iii) Convert \( \frac{11}{6} \) to a percentage

1. **Identify the fraction**: \( \frac{11}{6} \)
2. **Multiply by 100**:
\[ \frac{11}{6} \times 100 \]
3. **Simplify**:
\[ \frac{11 \times 100}{6} = \frac{1100}{6} \]
4. **Perform the division**:
\[ 1100 \div 6 = 183.33 \text{ (approximately)} \]
5. **Conclusion**:
\[ \frac{11}{6} = 183.33\% \]

### Final Answers
- \( \frac{7}{25} = 28\% \)
- \( \frac{5}{8} = 62.5\% \)
- \( \frac{11}{6} = 183.33\% \)