2/4+6/7

To add the fractions \( \frac{2}{4} \) and \( \frac{6}{7} \), you need to find a common denominator. The lowest common denominator for 4 and 7 is 28. 1. Convert \( \frac{2}{4} \) to a fraction with a denominator of 28: \[ \frac{2}{4} = \frac{2 \times 7}{4 \times 7} = \frac{14}{28} \] 2. Convert \( \frac{6}{7} \) to a fraction with a denominator of 28: \[ \frac{6}{7} = \frac{6 \times 4}{7 \times 4} = \frac{24}{28} \] 3. Now add the two fractions: \[ \frac{14}{28} + \frac{24}{28} = \frac{14 + 24}{28} = \frac{38}{28} \] 4. Simplify \( \frac{38}{28} \): \[ \frac{38 \div 2}{28 \div 2} = \frac{19}{14} \] So, \( \frac{2}{4} + \frac{6}{7} = \frac{19}{14} \) or \( 1 \frac{5}{14} \) in mixed number form.