4/15 + 1/3 A 5/18 B 5/3 C 4/5 D 3/5

To solve the expression \( \frac{4}{15} + \frac{1}{3} \), we start by finding a common denominator. The least common multiple (LCM) of 15 and 3 is 15.

Now we'll rewrite \( \frac{1}{3} \) with a denominator of 15:

\[
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
\]

Now we can add the two fractions:

\[
\frac{4}{15} + \frac{5}{15} = \frac{4 + 5}{15} = \frac{9}{15}
\]

Next, we can simplify \( \frac{9}{15} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

\[
\frac{9 \div 3}{15 \div 3} = \frac{3}{5}
\]

Thus, the final result of \( \frac{4}{15} + \frac{1}{3} \) is \( \frac{3}{5} \).

If you meant to compare this result to options A through D, it is clear that:

- **A:** \( \frac{5}{18} \)
- **B:** \( \frac{5}{3} \)
- **C:** \( \frac{4}{5} \)
- **D:** \( \frac{3}{5} \)

The correct answer is **D: \( \frac{3}{5} \)**.