Solve the Fraction Equation: Finding the Missing Addend in 1/6 + ? = 1/2

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

• Step 1: Rearrange the equation $\frac{1}{6} + x = \frac{1}{2}$ to solve for $x$.
• Step 2: Subtract $\frac{1}{6}$ from both sides of the equation, so $x = \frac{1}{2} - \frac{1}{6}$.
• Step 3: Using a common denominator for subtraction.

Now, let's work through each step:
Step 1: Rearrange the equation: $x = \frac{1}{2} - \frac{1}{6}$.
Step 2: To subtract fractions, we need a common denominator. The least common denominator of 2 and 6 is 6.
Step 3: Rewrite each fraction with the common denominator:
$\frac{1}{2} = \frac{3}{6}$ And $\frac{1}{6}$ is already with the denominator 6.
Step 4: Subtract the fractions: $x = \frac{3}{6} - \frac{1}{6} = \frac{2}{6}$.
Step 5: Simplify $\frac{2}{6}$ to $\frac{1}{3}$.

Therefore, the solution to the problem is $x = \frac{1}{3}$.