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Express : 18 hour as a per cent of 2 ...

Express :
18 hour as a per cent of 2 days

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To express 18 hours as a percent of 2 days, we can follow these steps: ### Step-by-Step Solution: 1. **Convert Days to Hours**: We need to convert 2 days into hours. We know that 1 day has 24 hours. \[ 2 \text{ days} = 2 \times 24 \text{ hours} = 48 \text{ hours} \] 2. **Use the Percentage Formula**: The formula to find the percentage is: \[ \text{Percentage} = \left( \frac{\text{Given Value}}{\text{Total Value}} \right) \times 100 \] Here, the given value is 18 hours and the total value is 48 hours. 3. **Substitute the Values into the Formula**: \[ \text{Percentage} = \left( \frac{18}{48} \right) \times 100 \] 4. **Simplify the Fraction**: We can simplify \( \frac{18}{48} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 6. \[ \frac{18 \div 6}{48 \div 6} = \frac{3}{8} \] 5. **Calculate the Percentage**: Now we substitute back into the percentage formula: \[ \text{Percentage} = \left( \frac{3}{8} \right) \times 100 \] To calculate this, we can multiply: \[ \frac{3 \times 100}{8} = \frac{300}{8} = 37.5 \] 6. **Final Answer**: Therefore, 18 hours expressed as a percent of 2 days is: \[ 37.5\% \]
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