Question

Add the fractions from the picture provided. Express your answer as a fraction in simplified form.
1/6+4/5

Answer 1

To add the fractions \( \frac{1}{6} + \frac{4}{5} \), we first need to find a common denominator.

The denominators are 6 and 5. The least common multiple (LCM) of 6 and 5 is 30.

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

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

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

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

The fraction is already in its simplest form since 29 is a prime number and does not have any common factors with 30.

Thus, the final answer is:
\[
\frac{29}{30}
\]