To solve \( 9 - 4\frac{1}{4} \) (which means 4 wholes and 1 fourth), first convert the mixed number \( 4\frac{1}{4} \) into an improper fraction:
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Convert to an improper fraction: \[ 4\frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \]
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Make 9 a fraction: \[ 9 = \frac{36}{4} \]
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Now subtract the two fractions: \[ \frac{36}{4} - \frac{17}{4} = \frac{36 - 17}{4} = \frac{19}{4} \]
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Convert back to a mixed number: \[ \frac{19}{4} = 4\frac{3}{4} \]
So, \( 9 - 4\frac{1}{4} = 4\frac{3}{4} \).