$$ \frac{3}{5}, \frac{1}{3} $$ common denominator:

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To find a common denominator for the fractions $$ \frac{3}{5} $$ and $$ \frac{1}{3} $$, we need to determine the least common multiple (LCM) of the denominators 5 and 3.

1. **Identify the denominators**: The denominators are 5 and 3.
2. **Find the LCM**:
   - The multiples of 5 are: 5, 10, 15, 20, 25, ...
   - The multiples of 3 are: 3, 6, 9, 12, 15, 18, ...

The smallest common multiple is 15.

Thus, the common denominator for $$ \frac{3}{5} $$ and $$ \frac{1}{3} $$ is 15.

Next, we can convert both fractions to have this common denominator:

- For $$ \frac{3}{5} $$:
  $$
  \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}
  $$

- For $$ \frac{1}{3} $$:
  $$
  \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
  $$

Now both fractions can be expressed with the common denominator of 15:
- $$ \frac{3}{5} = \frac{9}{15} $$
- $$ \frac{1}{3} = \frac{5}{15} $$

In conclusion, the common denominator is 15, and the fractions are $$ \frac{9}{15} $$ and $$ \frac{5}{15} $$.
The common denominator for $$ \frac{3}{5} $$ and $$ \frac{1}{3} $$ is 15.

\( \frac{3}{5}, \frac{1}{3} \) common denominator:

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