To compute \( 8 - 7 \frac{1}{4} \), first convert \( 7 \frac{1}{4} \) to an improper fraction.
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Convert \( 7 \frac{1}{4} \) to an improper fraction: \[ 7 \frac{1}{4} = 7 + \frac{1}{4} = \frac{28}{4} + \frac{1}{4} = \frac{29}{4} \]
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Next, express \( 8 \) as a fraction with a denominator of \( 4 \): \[ 8 = \frac{32}{4} \]
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Now perform the subtraction: \[ \frac{32}{4} - \frac{29}{4} = \frac{32 - 29}{4} = \frac{3}{4} \]
So, \( 8 - 7 \frac{1}{4} = \frac{3}{4} \).