To solve the expression \( \frac{1 \frac{4}{5}}{3} \), we first convert the mixed fraction into an improper fraction.

1. Convert \( 1 \frac{4}{5} \) into an improper fraction:
\[
1 \frac{4}{5} = \frac{5 \times 1 + 4}{5} = \frac{9}{5}
\]

2. Now divide \( \frac{9}{5} \) by 3:
\[
\frac{9}{5} \div 3 = \frac{9}{5} \times \frac{1}{3} = \frac{9}{15} = \frac{3}{5}
\]

So, the result of \( \frac{1 \frac{4}{5}}{3} \) is \( \frac{3}{5} \).

Would you like more details on any step?

Here are 5 related questions:
1. How do you convert mixed numbers to improper fractions?
2. What are the rules for dividing fractions?
3. How do you simplify fractions?
4. Can you explain how to multiply fractions?
5. What is the general process for solving mixed number division?

**Tip:** Always convert mixed numbers to improper fractions before performing any operations.

Learn how to divide the mixed number 1 4/5 by 3 with a detailed step-by-step solution. This problem involves converting mixed numbers to improper fractions and applying the division of fractions rule. Suitable for students in Grades 6-8.

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