Solve the Fraction Addition: 2/4 + 3/8 Step-by-Step

Solve the following exercise:

$\frac{2}{4}+\frac{3}{8}=\text{?}$

To solve the problem of adding $\frac{2}{4}$ and $\frac{3}{8}$, we need to follow these steps:

• Step 1: Convert $\frac{2}{4}$ to an equivalent fraction with a denominator of 8.
• Step 2: Add the two fractions with the common denominator.
• Step 3: Verify the solution and match it against the provided answer choices.

Let's perform each step:

Step 1: Convert $\frac{2}{4}$ to a fraction with a denominator of 8.
To do this, we multiply both the numerator and the denominator of $\frac{2}{4}$ by 2, since $4 \times 2 = 8$.
This gives us $\frac{2 \times 2}{4 \times 2} = \frac{4}{8}$.

Step 2: Add $\frac{4}{8}$ and $\frac{3}{8}$.
Since both fractions now have the same denominator, we can add the numerators directly:
$\frac{4}{8} + \frac{3}{8} = \frac{4+3}{8} = \frac{7}{8}$.

Step 3: Verify the solution.
The calculated sum of the fractions is $\frac{7}{8}$. This matches choice 1 in the given answer choices.

The solution to the problem is $\frac{7}{8}$.