Solve the Fraction Addition: 1/6 + 1/3 + 2/12 Step-by-Step

We will add the fractions $\frac{1}{6}$, $\frac{1}{3}$, and $\frac{2}{12}$ by first finding the common denominator.

The least common denominator (LCD) of the denominators 6, 3, and 12 is 12.

Let's convert each fraction to have this common denominator:

• Convert $\frac{1}{6}$: Multiply both the numerator and the denominator by 2: $\frac{1 \cdot 2}{6 \cdot 2} = \frac{2}{12}$.
• Convert $\frac{1}{3}$: Multiply both the numerator and the denominator by 4: $\frac{1 \cdot 4}{3 \cdot 4} = \frac{4}{12}$.
• $\frac{2}{12}$ already has the denominator 12.

Now add the fractions:

$\frac{2}{12} + \frac{4}{12} + \frac{2}{12} = \frac{2 + 4 + 2}{12} = \frac{8}{12}$.

The fraction $\frac{8}{12}$ can be simplified, but since the problem specifies to provide the answer in this form, we leave it as is.

Therefore, the solution to the problem is $\frac{8}{12}$.