To subtract \(\frac{1}{2}\) from \(\frac{6}{7}\), you'll need a common denominator. The least common denominator of 7 and 2 is 14.
Now, convert both fractions:
\[ \frac{6}{7} = \frac{6 \times 2}{7 \times 2} = \frac{12}{14} \]
\[ \frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14} \]
Now, you can perform the subtraction:
\[ \frac{12}{14} - \frac{7}{14} = \frac{12 - 7}{14} = \frac{5}{14} \]
So, \( \frac{6}{7} - \frac{1}{2} = \frac{5}{14} \).