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The problem asks to find the sum of the fractions \( \frac{1}{5}, \frac{2}{3}, \frac{3}{5}, \) and \( \frac{1}{3} \).

To solve this, we'll add the fractions step by step.

1. **Combine the fractions with the same denominator**:
   - The first and third terms \( \frac{1}{5} \) and \( \frac{3}{5} \) have the same denominator:
     \[
     \frac{1}{5} + \frac{3}{5} = \frac{4}{5}
     \]
   - The second and fourth terms \( \frac{2}{3} \) and \( \frac{1}{3} \) also have the same denominator:
     \[
     \frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1
     \]

2. **Now add the results**:
   - The sum is \( \frac{4}{5} + 1 = 1 + \frac{4}{5} = 1 \frac{4}{5} \).

Thus, the correct answer is **option (a) \( 1 \frac{4}{5} \)**.

Would you like further explanation on this?

Here are 5 related questions:
1. How do you add fractions with different denominators?
2. What is the least common denominator (LCD) and how is it used?
3. How can you simplify a fraction after adding or subtracting?
4. How do you convert an improper fraction into a mixed number?
5. How do you subtract mixed numbers with borrowing?

**Tip**: Always try to simplify fractions before performing operations like addition or subtraction to make the calculations easier.

Learn how to add fractions like 1/5, 2/3, 3/5, and 1/3 step-by-step. This problem involves finding the least common denominator (LCD) and converting improper fractions to mixed numbers. Perfect for students in Grades 6-8.

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