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, $$\frac{1}{6}+\frac{4}{5}=\frac{29}{30}.$$