To calculate the sum of $\frac{1}{2}$ and $\frac{2}{3}$, follow these steps:

1. Find a common denominator:

   • The denominators are 2 and 3. Their least common multiple (LCM) is 6.

2. Rewrite each fraction with the denominator of 6: $\frac{1}{2} = \frac{3}{6}, \quad \frac{2}{3} = \frac{4}{6}$

3. Add the fractions: $\frac{3}{6} + \frac{4}{6} = \frac{7}{6}$

4. Simplify the result (if needed):

   • $\frac{7}{6}$ is an improper fraction. It can also be written as a mixed number: $1 \frac{1}{6}$

Final Answer:

$\frac{7}{6} \text{ or } 1 \frac{1}{6}$

Would you like further clarification or examples?

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5 Related Questions:

1. What is the sum of $\frac{3}{4}$ and $\frac{5}{6}$?
2. How do you subtract $\frac{7}{8} - \frac{2}{5}$?
3. What is the LCM of two numbers, and why is it used for adding fractions?
4. How do you convert improper fractions into mixed numbers?
5. Can you solve $\frac{5}{6} + \frac{7}{12}$?

Tip:

Always reduce fractions to their simplest form to ensure your answers are neat and clear.