Question

2/5 + 1/4
Enter your answer as a fraction in simplest form by filling in the boxes.

Answer 1

To add the fractions \( \frac{2}{5} \) and \( \frac{1}{4} \), we need to find a common denominator.

The denominators are 5 and 4. The least common multiple of 5 and 4 is 20.

Next, we convert each fraction to have the common denominator of 20:

\[
\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
\]

\[
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
\]

Now we can add the two fractions:

\[
\frac{8}{20} + \frac{5}{20} = \frac{13}{20}
\]

The fraction \( \frac{13}{20} \) is already in simplest form.

So, the answer is:

\[
\frac{13}{20}
\]

You can fill in the boxes as follows:

Numerator: 13
Denominator: 20