To solve the expression \( 8 - 7 \frac{1}{4} \), we first need to convert the mixed number \( 7 \frac{1}{4} \) into an improper fraction.
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Convert \( 7 \frac{1}{4} \): \[ 7 \frac{1}{4} = 7 + \frac{1}{4} = \frac{7 \times 4}{4} + \frac{1}{4} = \frac{28}{4} + \frac{1}{4} = \frac{29}{4} \]
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Now we can rewrite the expression: \[ 8 - \frac{29}{4} \]
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Convert 8 to a fraction with a denominator of 4: \[ 8 = \frac{8 \times 4}{4} = \frac{32}{4} \]
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Now perform the subtraction: \[ \frac{32}{4} - \frac{29}{4} = \frac{32 - 29}{4} = \frac{3}{4} \]
Thus, \( 8 - 7 \frac{1}{4} = \frac{3}{4} \).
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