Solve: 1/2 + 1/6 + 3/12 Fraction Addition Problem

To solve the given problem, let's follow these steps:

• Step 1: Find the Least Common Denominator (LCD)
  The denominators are 2, 6, and 12. The least common multiple (LCM) of these numbers is 12.
• Step 2: Convert each fraction to have the common denominator of 12
  Here is how to convert each fraction:
  • $\frac{1}{2}$ becomes $\frac{1 \times 6}{2 \times 6} = \frac{6}{12}$
  • $\frac{1}{6}$ becomes $\frac{1 \times 2}{6 \times 2} = \frac{2}{12}$
  • $\frac{3}{12}$ is already with denominator 12, so it remains $\frac{3}{12}$.
• Step 3: Add the fractions
  Now add the equivalent fractions: $\frac{6}{12} + \frac{2}{12} + \frac{3}{12} = \frac{6 + 2 + 3}{12} = \frac{11}{12}$.

Therefore, the solution to the problem is $\frac{11}{12}$.