Add the fractions

Question

1/6 + 4/5

Answer 1

To add the fractions \( \frac{1}{6} \) and \( \frac{4}{5} \), we need to find a common denominator. The least common multiple (LCM) of 6 and 5 is 30.

Next, we convert each fraction to have the common denominator of 30:

1. Convert \( \frac{1}{6} \): \[ \frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30} \]

2. Convert \( \frac{4}{5} \): \[ \frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30} \]

Now, we can add the two fractions: \[ \frac{5}{30} + \frac{24}{30} = \frac{5 + 24}{30} = \frac{29}{30} \]

Thus, \[ \frac{1}{6} + \frac{4}{5} = \frac{29}{30}. \]