To add the fractions \( \frac{1}{2} + \frac{2}{3} \), 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 is the smallest number that both 2 and 3 can divide into, which is 6.

### Step 2: Convert Each Fraction to Have the LCD as the Denominator
- For \( \frac{1}{2} \), multiply the numerator and denominator by 3:
  \[
  \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
  \]
- For \( \frac{2}{3} \), multiply the numerator and denominator by 2:
  \[
  \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
  \]

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

### Conclusion
The sum of \( \frac{1}{2} + \frac{2}{3} \) is:

\[
\frac{7}{6}
\]

Would you like more details on this or have any questions?

Here are 5 related questions to explore further:

1. How do you add fractions with different denominators?
2. What is the process to subtract fractions with different denominators?
3. How do you convert improper fractions to mixed numbers?
4. How do you multiply and divide fractions?
5. What is the concept of the least common multiple (LCM)?

**Tip:** Always ensure fractions have a common denominator before adding or subtracting them.

Learn how to add fractions with different denominators by solving 1/2 + 2/3. This detailed guide covers the process of finding the least common denominator, converting fractions, and performing the addition. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation