3/7 +2/5

To add the fractions \( \frac{3}{7} \) and \( \frac{2}{5} \), you first need to find a common denominator. The least common multiple (LCM) of 7 and 5 is 35.

Now, convert each fraction to have the common denominator of 35:

1. Convert \( \frac{3}{7} \): \[ \frac{3}{7} = \frac{3 \times 5}{7 \times 5} = \frac{15}{35} \]

2. Convert \( \frac{2}{5} \): \[ \frac{2}{5} = \frac{2 \times 7}{5 \times 7} = \frac{14}{35} \]

Now, add the two fractions: \[ \frac{15}{35} + \frac{14}{35} = \frac{15 + 14}{35} = \frac{29}{35} \]

Therefore, \( \frac{3}{7} + \frac{2}{5} = \frac{29}{35} \).