Solve the Fraction Addition: 2/5 + 3/10 Step by Step

To solve this problem, we need to add the fractions $\frac{2}{5}$ and $\frac{3}{10}$.

Firstly, we find a common denominator for the fractions. The denominators are 5 and 10. The least common multiple (LCM) of 5 and 10 is 10.

Next, we convert each fraction to an equivalent fraction with the denominator of 10:

• The fraction $\frac{2}{5}$ is equivalent to $\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$.
• The fraction $\frac{3}{10}$ is already expressed with the denominator of 10, so it remains as $\frac{3}{10}$.

Now, we add both fractions: $\frac{4}{10} + \frac{3}{10} = \frac{4+3}{10} = \frac{7}{10}$.

Therefore, the solution to the exercise is $\frac{7}{10}$.