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Convert the following percentages into f...

Convert the following percentages into fractions :
`12(1)/(2)%`

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The correct Answer is:
To convert the percentage `12(1)/(2)%` into a fraction, we can follow these steps: ### Step-by-Step Solution: 1. **Convert the Mixed Number to an Improper Fraction**: - The mixed number `12(1/2)` can be converted to an improper fraction. - To do this, multiply the whole number (12) by the denominator (2) and add the numerator (1): \[ 12 \times 2 + 1 = 24 + 1 = 25 \] - Therefore, `12(1/2)` can be written as: \[ \frac{25}{2} \] 2. **Convert the Percentage to a Fraction**: - The percentage `12(1/2)%` can be expressed as: \[ \frac{25}{2} \div 100 \] - Dividing by 100 is the same as multiplying by \(\frac{1}{100}\): \[ \frac{25}{2} \times \frac{1}{100} = \frac{25}{200} \] 3. **Simplify the Fraction**: - Now, we simplify \(\frac{25}{200}\): - Both the numerator and the denominator can be divided by 25: \[ \frac{25 \div 25}{200 \div 25} = \frac{1}{8} \] ### Final Answer: Thus, `12(1/2)%` as a fraction is: \[ \frac{1}{8} \]
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