To calculate \( 8 - 7 \frac{1}{4} \), first convert \( 7 \frac{1}{4} \) into an improper fraction.
-
Convert \( 7 \frac{1}{4} \): \[ 7 \frac{1}{4} = 7 + \frac{1}{4} = \frac{7 \times 4}{4} + \frac{1}{4} = \frac{28}{4} + \frac{1}{4} = \frac{29}{4} \]
-
Now, convert \( 8 \) into a fraction: \[ 8 = \frac{8}{1} = \frac{8 \times 4}{1 \times 4} = \frac{32}{4} \]
-
Perform the subtraction: \[ 8 - 7 \frac{1}{4} = \frac{32}{4} - \frac{29}{4} = \frac{32 - 29}{4} = \frac{3}{4} \]
Thus, \( 8 - 7 \frac{1}{4} = \frac{3}{4} \).