Solve the Fraction Addition: 1/5 + 3/15 + 1/3

To solve this problem, let's proceed with the following steps:

• Step 1: Identify the common denominator for the fractions $\frac{1}{5}$, $\frac{3}{15}$, and $\frac{1}{3}$. The denominators are 5, 15, and 3. The LCM of these denominators is 15.
• Step 2: Convert each fraction to an equivalent fraction with 15 as the denominator.
  • $\frac{1}{5}$ becomes $\frac{1 \times 3}{5 \times 3} = \frac{3}{15}$.
  • $\frac{3}{15}$ already has a denominator of 15, so it remains $\frac{3}{15}$.
  • $\frac{1}{3}$ becomes $\frac{1 \times 5}{3 \times 5} = \frac{5}{15}$.
• Step 3: Add the equivalent fractions: $\frac{3}{15} + \frac{3}{15} + \frac{5}{15}$.
  • Add the numerators: $3 + 3 + 5 = 11$.
  • The common denominator is 15, so the result is $\frac{11}{15}$.
• Step 4: Simplify the fraction if necessary. In this case, $\frac{11}{15}$ is already in its simplest form as 11 and 15 have no common factors other than 1.

Therefore, the solution to the problem is $\frac{11}{15}$.