11. \( \frac{6}{7}-\frac{2}{4}= \)

To solve \( \frac{6}{7} - \frac{2}{4} \), we first convert \( \frac{2}{4} \) to its simplest form, which is \( \frac{1}{2} \). Next, we find a common denominator for the fractions, which is 14. So, we convert \( \frac{6}{7} \) to \( \frac{12}{14} \) and \( \frac{1}{2} \) to \( \frac{7}{14} \). Now we can subtract: \[ \frac{12}{14} - \frac{7}{14} = \frac{5}{14}. \] Thus, the answer is \( \frac{5}{14} \). Now, don’t you just love how fractions can be so neatly managed? They’re like puzzle pieces that fit perfectly together with just a bit of teamwork! And speaking of teamwork, did you know that throughout history, fractions have been used in trade and commerce since ancient civilizations? Even the Babylonians and Egyptians relied on these mathematical concepts to measure land and distribute goods efficiently!