Solve: Adding Fractions 3/5 + 1/3 + 2/15 Step by Step

To solve this problem, we'll follow these steps:

• Step 1: Find the least common multiple (LCM) of the denominators: 5, 3, and 15.
• Step 2: Convert each fraction to an equivalent fraction with the LCM as the common denominator.
• Step 3: Add the numerators of the converted fractions.
• Step 4: Simplify the resulting fraction if necessary.

Now, let's work through each step:

Step 1: The denominators are 5, 3, and 15. The LCM of these numbers is 15.

Step 2: Convert each fraction:

• $\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}$
• $\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}$
• $\frac{2}{15} = \frac{2}{15}$

Step 3: Add the numerators of the converted fractions:

$\frac{9}{15} + \frac{5}{15} + \frac{2}{15} = \frac{9 + 5 + 2}{15} = \frac{16}{15}$

Step 4: The fraction $\frac{16}{15}$ is already in simplest form.

Therefore, the solution to the problem is $\frac{16}{15}$.