To add the fractions \( \frac{3}{20} \) and \( \frac{2}{15} \), you need a common denominator. The least common multiple (LCM) of 20 and 15 is 60.
Now, convert each fraction:
For \( \frac{3}{20} \): \[ \frac{3}{20} = \frac{3 \times 3}{20 \times 3} = \frac{9}{60} \]
For \( \frac{2}{15} \): \[ \frac{2}{15} = \frac{2 \times 4}{15 \times 4} = \frac{8}{60} \]
Now, add the two fractions: \[ \frac{9}{60} + \frac{8}{60} = \frac{9 + 8}{60} = \frac{17}{60} \]
Thus, \( \frac{3}{20} + \frac{2}{15} = \frac{17}{60} \).
