Solve the Fraction Addition: 2/5 + 4/10 Step-by-Step

To solve this problem, we will add the fractions by first finding a common denominator:

• Step 1: Identify that the denominators are 5 and 10. Since 10 is a multiple of 5, we choose 10 as the common denominator.
• Step 2: Convert $\frac{2}{5}$ into a fraction with a denominator of 10. Multiply both numerator and denominator by 2 to get $\frac{4}{10}$.
• Step 3: Now both fractions are over 10: $\frac{4}{10}$ and $\frac{4}{10}$.
• Step 4: Add the numerators: $4 + 4 = 8$.
• Step 5: The sum is $\frac{8}{10}$.

Therefore, the solution to the problem is $\frac{8}{10}$.

The correct answer choice is: $\frac{8}{10}$.