Solve: Adding 2/3 and 1/6 Using Common Denominators

To solve the problem of adding $\frac{2}{3}$ and $\frac{1}{6}$, we will first find a common denominator:

• Step 1: Identify the least common denominator (LCD), which is 6 for the fractions $\frac{2}{3}$ and $\frac{1}{6}$.
• Step 2: Convert $\frac{2}{3}$ to an equivalent fraction with a denominator of 6. To do this, multiply both the numerator and the denominator by 2: $\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$
• Step 3: Now, add the fractions $\frac{4}{6}$ and $\frac{1}{6}$: $\frac{4}{6} + \frac{1}{6} = \frac{4 + 1}{6} = \frac{5}{6}$

As we see, both fractions have been added correctly. The sum is already in its simplest form.

Therefore, the solution to the problem is $\frac{5}{6}$.