Solve: Adding Fractions 3/5 + 4/15 with Unlike Denominators

To solve the problem of adding $\frac{3}{5} + \frac{4}{15}$, we follow these steps:

• Step 1: Identify a common denominator for the fractions. Since 15 is a multiple of 5, we can use 15 as the common denominator.
• Step 2: Convert $\frac{3}{5}$ to an equivalent fraction with a denominator of 15.
• Step 3: Add the fractions once they have a common denominator.
• Step 4: Simplify the result if possible.

Let's solve each step:
Step 1: Our common denominator is 15.
Step 2: To convert $\frac{3}{5}$ to a fraction with a denominator of 15, multiply both the numerator and the denominator by 3:
$\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}$.
Step 3: Now add $\frac{9}{15}$ and $\frac{4}{15}$:
$\frac{9}{15} + \frac{4}{15} = \frac{9 + 4}{15} = \frac{13}{15}$.
Step 4: The fraction $\frac{13}{15}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{13}{15}$.