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

Answer 1

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:

$$\frac{9÷3}{15÷3}=\frac{3}{5}$$

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: $\frac{3}{5}$.