Question

Add the fractions
2/3 + 3/8

Answer 1

To add the fractions \( \frac{2}{3} \) and \( \frac{3}{8} \), we need to find a common denominator.

The denominators are 3 and 8. The least common multiple (LCM) of 3 and 8 is 24.

Next, we convert each fraction to have a denominator of 24:

1. For \( \frac{2}{3} \):
\[
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
\]

2. For \( \frac{3}{8} \):
\[
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
\]

Now that both fractions have a common denominator, we can add them:
\[
\frac{16}{24} + \frac{9}{24} = \frac{16 + 9}{24} = \frac{25}{24}
\]

Thus, \( \frac{2}{3} + \frac{3}{8} = \frac{25}{24} \), which can also be written as a mixed number:
\[
1 \frac{1}{24}
\]

The final answer is:
\[
\frac{25}{24} \text{ or } 1 \frac{1}{24}
\]