To add the fractions \( \frac{7}{20} \) and \( \frac{11}{50} \), we first need to find a common denominator. The least common multiple (LCM) of 20 and 50 is 100.
Now, we convert each fraction to have the common denominator of 100:
For \( \frac{7}{20} \): \[ \frac{7}{20} = \frac{7 \times 5}{20 \times 5} = \frac{35}{100} \]
For \( \frac{11}{50} \): \[ \frac{11}{50} = \frac{11 \times 2}{50 \times 2} = \frac{22}{100} \]
Now we can add the two fractions: \[ \frac{35}{100} + \frac{22}{100} = \frac{35 + 22}{100} = \frac{57}{100} \]
So, \( \frac{7}{20} + \frac{11}{50} = \frac{57}{100} \).