To add the fractions $\frac{2}{3}$ and $\frac{1}{6}$, we need to find a common denominator.

Step 1: Find the Least Common Denominator (LCD)

The denominators are 3 and 6. The LCD of 3 and 6 is 6.

Step 2: Adjust the fractions

We adjust $\frac{2}{3}$ so that it has the same denominator as $\frac{1}{6}$. To do this, we multiply both the numerator and denominator of $\frac{2}{3}$ by 2:

$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$

Now, the equation becomes:

$\frac{4}{6} + \frac{1}{6}$

Step 3: Add the fractions

Since the denominators are the same, we can directly add the numerators:

$\frac{4}{6} + \frac{1}{6} = \frac{4 + 1}{6} = \frac{5}{6}$

Final Answer:

$\frac{2}{3} + \frac{1}{6} = \frac{5}{6}$

Would you like more details or have any further questions? Here are some related questions to explore:

1. How do you subtract fractions with different denominators?
2. How do you convert a mixed number into an improper fraction?
3. What is the process for multiplying fractions?
4. What is the difference between a proper and improper fraction?
5. How do you simplify fractions?

Tip: Always find the Least Common Denominator (LCD) when adding or subtracting fractions!