To subtract \( \frac{1}{4} \) from \( 1 \frac{7}{8} \), first convert \( 1 \frac{7}{8} \) to an improper fraction.
Convert \( 1 \frac{7}{8} \) to an improper fraction: \[ 1 \frac{7}{8} = \frac{8 \times 1 + 7}{8} = \frac{8 + 7}{8} = \frac{15}{8} \]
Now, subtract \( \frac{1}{4} \) from \( \frac{15}{8} \). First, find a common denominator. The common denominator between 8 and 4 is 8.
Convert \( \frac{1}{4} \) to a fraction with a denominator of 8: \[ \frac{1}{4} = \frac{2}{8} \]
Now subtract: \[ \frac{15}{8} - \frac{2}{8} = \frac{15 - 2}{8} = \frac{13}{8} \]
Finally, convert \( \frac{13}{8} \) back to a mixed number, if desired: \[ \frac{13}{8} = 1 \frac{5}{8} \]
So, \( 1 \frac{7}{8} - \frac{1}{4} = \frac{13}{8} \) or \( 1 \frac{5}{8} \).