Solve the Fraction Addition: 1/4 + 1/2 Step-by-Step

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

• Step 1: Identify the least common denominator (LCD) of the fractions $\frac{1}{4}$ and $\frac{1}{2}$.
• Step 2: Convert each fraction to have the common denominator.
• Step 3: Add the fractions together.

Now, let's work through each step:

Step 1: Identify the Least Common Denominator (LCD).

The denominators are 4 and 2. The smallest number that both 4 and 2 can divide into without a remainder is 4. Thus, the LCD is 4.

Step 2: Convert each fraction to have the common denominator.

The fraction $\frac{1}{4}$ already has the denominator 4, so it remains the same: $\frac{1}{4}$.

The fraction $\frac{1}{2}$ needs to be converted. We multiply both the numerator and denominator by 2 to get the equivalent fraction $\frac{2}{4}$.

Step 3: Add the fractions.

The fractions $\frac{1}{4}$ and $\frac{2}{4}$ share a common denominator, so we can add the numerators:

$\frac{1}{4} + \frac{2}{4} = \frac{1 + 2}{4} = \frac{3}{4}$.

Therefore, the solution to the problem is $\frac{3}{4}$.