To add \(\frac{1}{2}\) and \(\frac{2}{3}\), we need to find a common denominator.

### Step 1: Find the least common denominator (LCD)
The denominators are 2 and 3. The least common denominator of 2 and 3 is 6.

### Step 2: Convert the fractions
Convert \(\frac{1}{2}\) and \(\frac{2}{3}\) to fractions with a denominator of 6.

- \(\frac{1}{2}\) becomes \(\frac{1 \times 3}{2 \times 3} = \frac{3}{6}\)
- \(\frac{2}{3}\) becomes \(\frac{2 \times 2}{3 \times 2} = \frac{4}{6}\)

### Step 3: Add the fractions
Now that the fractions have the same denominator, you can add them:
\[
\frac{3}{6} + \frac{4}{6} = \frac{3 + 4}{6} = \frac{7}{6}
\]

### Step 4: Simplify the fraction (if needed)
\(\frac{7}{6}\) is already in its simplest form, but it can also be expressed as a mixed number:
\[
\frac{7}{6} = 1 \frac{1}{6}
\]

So, \(\frac{1}{2} + \frac{2}{3} = \frac{7}{6}\) or \(1 \frac{1}{6}\).

Do you want more details or have any questions?

Here are 5 related questions:
1. How do you subtract fractions with different denominators?
2. What is the decimal equivalent of \(\frac{7}{6}\)?
3. How do you add mixed numbers?
4. Can you simplify \(\frac{7}{6}\) further?
5. What is the result of \(\frac{7}{6}\) multiplied by \(\frac{1}{2}\)?

**Tip:** Always make sure to find the least common denominator when adding or subtracting fractions!

Learn how to add fractions 1/2 and 2/3 step-by-step with detailed instructions and examples. Understand the concept of finding a common denominator and adding fractions effectively. Suitable for students in Grades 4-6.

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