Adding Fractions with Different Denominators: 1/2 and 2/4

Solve the following exercise:

$\frac{1}{2}+\frac{2}{4}=\text{?}$

To solve the problem of adding the fractions $\frac{1}{2}$ and $\frac{2}{4}$, we can follow these steps:

• Step 1: Convert the fraction $\frac{1}{2}$ to have the same denominator as $\frac{2}{4}$.
• Step 2: Add the two fractions.
• Step 3: Simplify the sum, if necessary.

Now, let's execute these steps in detail:
Step 1: Convert $\frac{1}{2}$ to a fraction with a denominator of 4. To do this, multiply both the numerator and the denominator by 2. Thus, $\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}$.
Step 2: Now, add the fractions $\frac{2}{4} + \frac{2}{4}$. Since the denominators are the same, we add the numerators and keep the common denominator: $\frac{2+2}{4} = \frac{4}{4}$.
Step 3: Simplify $\frac{4}{4}$, which equals 1. However, the problem asks for the sum in fraction form, so we present it as $\frac{4}{4}$.

Therefore, the solution to the given problem is $\frac{4}{4}$.