Question

Add the two rational numbers 1/4 and 2/5.
13/20
3/5
3/4
1/3

Answer 1

To add the two rational numbers \( \frac{1}{4} \) and \( \frac{2}{5} \), we first need to find a common denominator. The least common multiple (LCM) of 4 and 5 is 20.

Now, we can convert each fraction:

- For \( \frac{1}{4} \):
\[
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
\]

- For \( \frac{2}{5} \):
\[
\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
\]

Now we can add them:
\[
\frac{5}{20} + \frac{8}{20} = \frac{5 + 8}{20} = \frac{13}{20}
\]

Thus, the sum of \( \frac{1}{4} \) and \( \frac{2}{5} \) is \( \frac{13}{20} \).

Therefore, the answer is:
**\( \frac{13}{20} \)**.