To convert the mixed number \( 12 \frac{1}{4} \) into an improper fraction, you can follow these steps:
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Multiply the whole number (12) by the denominator of the fractional part (4): \[ 12 \times 4 = 48 \]
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Add the numerator of the fractional part (1) to this result: \[ 48 + 1 = 49 \]
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Write this sum over the original denominator (4): \[ 12 \frac{1}{4} = \frac{49}{4} \]
So, \( 12 \frac{1}{4} \) is equal to \( \frac{49}{4} \).