To convert the mixed number \( 7 \frac{1}{2} \) into an improper fraction, you follow these steps:
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Multiply the whole number (7) by the denominator of the fractional part (2): \[ 7 \times 2 = 14 \]
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Add the result to the numerator of the fractional part (1): \[ 14 + 1 = 15 \]
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Write the result as the numerator over the original denominator: \[ \frac{15}{2} \]
Therefore, \( 7 \frac{1}{2} \) as an improper fraction is \( \frac{15}{2} \).