2/10 + 1/7

To add the fractions \( \frac{2}{10} \) and \( \frac{1}{7} \), you first need to find a common denominator.

The least common multiple of 10 and 7 is 70.

Now, convert each fraction:

1. For \( \frac{2}{10} \): \[ \frac{2}{10} = \frac{2 \times 7}{10 \times 7} = \frac{14}{70} \]

2. For \( \frac{1}{7} \): \[ \frac{1}{7} = \frac{1 \times 10}{7 \times 10} = \frac{10}{70} \]

Now add the two fractions: \[ \frac{14}{70} + \frac{10}{70} = \frac{14 + 10}{70} = \frac{24}{70} \]

Finally, simplify \( \frac{24}{70} \): Both 24 and 70 have a common factor of 2: \[ \frac{24 \div 2}{70 \div 2} = \frac{12}{35} \]

So, \( \frac{2}{10} + \frac{1}{7} = \frac{12}{35} \).