Solve the Fraction Addition: 3/5 + 1/3 Step by Step

To solve the problem of adding $\frac{3}{5}$ and $\frac{1}{3}$, the solution steps are as follows:

• Step 1: Identify a common denominator. Multiply the denominators: $5 \times 3 = 15$.
• Step 2: Convert each fraction to have this common denominator.
• Convert $\frac{3}{5}$: Multiply both numerator and denominator by 3: $\frac{3 \times 3}{5 \times 3} = \frac{9}{15}$.
• Convert $\frac{1}{3}$: Multiply both numerator and denominator by 5: $\frac{1 \times 5}{3 \times 5} = \frac{5}{15}$.
• Step 3: Add the two fractions now that they have the same denominator: $\frac{9}{15} + \frac{5}{15} = \frac{9+5}{15} = \frac{14}{15}$.
• Step 4: Simplify if possible. In this case, $\frac{14}{15}$ is already in its simplest form.

Thus, the result of adding $\frac{3}{5}$ and $\frac{1}{3}$ is $\frac{14}{15}$, which corresponds to choice id "3" in the provided multiple-choice options.