📘 Question
Express the following rational numbers as decimals:
- (i) \( \frac{42}{100} \)
- (ii) \( \frac{327}{500} \)
- (iii) \( \frac{15}{4} \)
✏️ Step-by-Step Solution
(i) \( \frac{42}{100} \)
Divide numerator by denominator:
\[ \frac{42}{100} = 0.42 \] —(ii) \( \frac{327}{500} \)
Convert denominator to 1000:
\[ \frac{327}{500} = \frac{654}{1000} = 0.654 \] —(iii) \( \frac{15}{4} \)
Divide 15 by 4:
\[ 15 \div 4 = 3.75 \] —✅ Final Answers
- (i) \(0.42\)
- (ii) \(0.654\)
- (iii) \(3.75\)
💡 Key Concept
- If denominator is power of 10 → direct decimal
- Otherwise convert denominator or divide