To solve $\frac{2}{3} + \frac{4}{15}$, follow these steps:

Step 1: Find a common denominator.

The least common denominator (LCD) of 3 and 15 is 15.

Step 2: Adjust the fractions to have the same denominator.

• $\frac{2}{3}$ can be rewritten as $\frac{10}{15}$ by multiplying both the numerator and denominator by 5.
• $\frac{4}{15}$ remains unchanged.

Step 3: Add the fractions.

Now that the fractions have the same denominator: $\frac{10}{15} + \frac{4}{15} = \frac{10 + 4}{15} = \frac{14}{15}$

So, $\frac{2}{3} + \frac{4}{15} = \frac{14}{15}$.

Would you like more details or have any other questions?

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Here are 5 related questions for practice:

1. What is $\frac{5}{6} + \frac{7}{9}$?
2. Simplify $\frac{3}{4} - \frac{1}{8}$.
3. Add $\frac{7}{10} + \frac{3}{5}$.
4. What is the result of $\frac{1}{2} + \frac{3}{4}$?
5. How do you subtract $\frac{5}{6} - \frac{2}{9}$?

Tip: Always look for the least common denominator to simplify fraction addition or subtraction.