5/14 + 5/21

To add the fractions \( \frac{5}{14} \) and \( \frac{5}{21} \), we need to find a common denominator. The least common multiple (LCM) of 14 and 21 is 42.

Now, we can convert each fraction:

1. Convert \( \frac{5}{14} \) to a fraction with a denominator of 42: \[ \frac{5}{14} = \frac{5 \times 3}{14 \times 3} = \frac{15}{42} \]

2. Convert \( \frac{5}{21} \) to a fraction with a denominator of 42: \[ \frac{5}{21} = \frac{5 \times 2}{21 \times 2} = \frac{10}{42} \]

Now add the two fractions: \[ \frac{15}{42} + \frac{10}{42} = \frac{15 + 10}{42} = \frac{25}{42} \]

So, \( \frac{5}{14} + \frac{5}{21} = \frac{25}{42} \).