Solve: Adding Fractions 2/5 + 5/10 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Convert the fractions to have the same denominator.
• Step 2: Add the fractions.
• Step 3: Simplify the resulting fraction.

Let's proceed with solving the problem:

Step 1: Convert $\frac{2}{5}$ to a fraction with a denominator of 10. The equivalent fraction is found by multiplying the numerator and the denominator by 2:

$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

Step 2: Add the fractions $\frac{4}{10}$ and $\frac{5}{10}$:

$\frac{4}{10} + \frac{5}{10} = \frac{4 + 5}{10} = \frac{9}{10}$

Step 3: Simplify the resulting fraction. Since $\frac{9}{10}$ is already in its simplest form, we conclude:

Therefore, the solution to the problem is $\frac{9}{10}$.