What is the sum of 1/5 and 2/7?

To find the sum of ( \frac{1}{5} ) and ( \frac{2}{7} ), you need to add the two fractions together. The first step is to find a common denominator, which is necessary for adding fractions.

The denominators here are 5 and 7. The least common multiple (LCM) of 5 and 7 is 35.

Next, convert each fraction to have this common denominator:

1. For ( \frac{1}{5} ):

[

\frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35}

]

2. For ( \frac{2}{7} ):

[

\frac{2}{7} = \frac{2 \times 5}{7 \times 5} = \frac{10}{35}

]

Now that both fractions have the same denominator, you can add them:

[

\frac{7}{35} + \frac{10}{35} = \frac{7 + 10}{35} = \frac{17}{35}

]

Thus,