6/35+2/21

To add the fractions \( \frac{6}{35} \) and \( \frac{2}{21} \), we first need to find a common denominator.

The least common multiple (LCM) of 35 and 21 is 105.

Next, we convert each fraction to have the common denominator:

1. For \( \frac{6}{35} \): \[ \frac{6}{35} \times \frac{3}{3} = \frac{18}{105} \]

2. For \( \frac{2}{21} \): \[ \frac{2}{21} \times \frac{5}{5} = \frac{10}{105} \]

Now, we can add the two fractions: \[ \frac{18}{105} + \frac{10}{105} = \frac{28}{105} \]

Finally, we can simplify \( \frac{28}{105} \) by finding the greatest common divisor (GCD) of 28 and 105, which is 7: \[ \frac{28 \div 7}{105 \div 7} = \frac{4}{15} \]

So, \( \frac{6}{35} + \frac{2}{21} = \frac{4}{15} \).