2/15+5/12

To add the fractions \( \frac{2}{15} \) and \( \frac{5}{12} \), we first need to find a common denominator. The least common multiple (LCM) of 15 and 12 is 60.

Next, we convert each fraction to have the common denominator of 60:

1. Convert \( \frac{2}{15} \): \[ \frac{2}{15} = \frac{2 \times 4}{15 \times 4} = \frac{8}{60} \]

2. Convert \( \frac{5}{12} \): \[ \frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60} \]

Now, we can add the two fractions: \[ \frac{8}{60} + \frac{25}{60} = \frac{8 + 25}{60} = \frac{33}{60} \]

Finally, we can simplify \( \frac{33}{60} \) by finding the greatest common divisor (GCD) of 33 and 60, which is 3. Thus:

\[ \frac{33 \div 3}{60 \div 3} = \frac{11}{20} \]

So, the final answer is: \[ \frac{11}{20} \]