To subtract the fractions \( \frac{15}{14} - \frac{4}{7} \), we need to make sure they have a common denominator. In this case, the least common multiple of 14 and 7 is 14.
Rewriting the fractions with a common denominator:
\( \frac{15}{14} - \frac{4}{7} = \frac{15 \times 1}{14 \times 1} - \frac{4 \times 2}{7 \times 2} = \frac{15}{14} - \frac{8}{14} \)
Now we can subtract the numerators and keep the common denominator:
\( \frac{15 - 8}{14} = \frac{7}{14} = \frac{1}{2} \)
Therefore, \( \frac{15}{14} - \frac{4}{7} = \frac{1}{2} \).