Question

Add the following fractions: 3/7 + 1/5
(1 point)

Answer 1

To add the fractions \( \frac{3}{7} \) and \( \frac{1}{5} \), we need to find a common denominator. The least common multiple (LCM) of 7 and 5 is 35.

Next, we will convert each fraction to have the denominator of 35:

1. Convert \( \frac{3}{7} \):
\[
\frac{3}{7} = \frac{3 \times 5}{7 \times 5} = \frac{15}{35}
\]

2. Convert \( \frac{1}{5} \):
\[
\frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35}
\]

Now, we can add the two fractions:
\[
\frac{15}{35} + \frac{7}{35} = \frac{15 + 7}{35} = \frac{22}{35}
\]

So, the result of adding the fractions \( \frac{3}{7} + \frac{1}{5} \) is:
\[
\frac{22}{35}
\]