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

To solve \( \frac{6}{7}-\frac{2}{6} \), first, find a common denominator for the fractions. The least common multiple of 7 and 6 is 42. Now, convert each fraction: - \( \frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42} \) - \( \frac{2}{6} = \frac{2 \times 7}{6 \times 7} = \frac{14}{42} \) Now, subtract the two fractions: \( \frac{36}{42} - \frac{14}{42} = \frac{36 - 14}{42} = \frac{22}{42} \) Finally, simplify \( \frac{22}{42} \) by dividing the numerator and the denominator by their greatest common divisor, which is 2: \( \frac{22 \div 2}{42 \div 2} = \frac{11}{21} \) Thus, \( \frac{6}{7}-\frac{2}{6} = \frac{11}{21} \).