Solve the Fraction Addition: 1/2 + 1/6 Step by Step

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

• Step 1: Identify the common denominator of the fractions.

• Step 2: Convert each fraction to an equivalent fraction with this common denominator.

• Step 3: Add the fractions.

Now, let's work through each step:

Step 1: The denominators of our fractions are 2 and 6. The least common denominator (LCD) between 2 and 6 is 6.

Step 2: Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 6. To do this, multiply both the numerator and the denominator by 3:

$\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

Since $\frac{1}{6}$ already has the common denominator of 6, it remains unchanged, $\frac{1}{6}$.

Step 3: Add the fractions:

$\frac{3}{6} + \frac{1}{6} = \frac{3+1}{6} = \frac{4}{6}$

Therefore, the correct answer is $\frac{4}{6}$.

Verify this matches choice 4. Thus, the correct choice is :$\frac{4}{6}$