Solve: Adding Fractions 1/6 + 4/12 Step by Step

To solve the problem of adding $\frac{1}{6} + \frac{4}{12}$, follow these steps:

• Step 1: Find the least common denominator (LCD) for the fractions. The denominators are 6 and 12, and the LCD is 12.
• Step 2: Convert $\frac{1}{6}$ to an equivalent fraction with a denominator of 12. To do this, multiply both the numerator and the denominator by 2: $\frac{1}{6} \times \frac{2}{2} = \frac{2}{12}$.
• Step 3: The fraction $\frac{4}{12}$ already has the denominator of 12, so no conversion is needed.
• Step 4: Add the fractions with the common denominator: $\frac{2}{12} + \frac{4}{12} = \frac{6}{12}$.
• Step 5: Simplify the resulting fraction if possible. In this case, $\frac{6}{12}$ simplifies to $\frac{1}{2}$, but we will leave it as $\frac{6}{12}$ as it appears in the options.

Therefore, the solution to the problem is $\frac{6}{12}$, which matches option 3 from the provided answers.