Fill up the `square` using `ltorgtor=`, so that the statement should be true.
`2(4)/(5)square3(1)/(5)`

Answer

To solve the problem, we need to compare the two mixed fractions \(2 \frac{4}{5}\) and \(3 \frac{1}{5}\) and fill in the box with the appropriate symbol (less than, greater than, or equal to).

### Step-by-Step Solution:

1. **Convert the mixed fractions to improper fractions:**
- For \(2 \frac{4}{5}\):
\[ 2 \frac{4}{5} = 2 \times 5 + 4 = 10 + 4 = 14 \quad \text{(improper fraction: } \frac{14}{5}\text{)} \]
- For \(3 \frac{1}{5}\):
\[ 3 \frac{1}{5} = 3 \times 5 + 1 = 15 + 1 = 16 \quad \text{(improper fraction: } \frac{16}{5}\text{)} \]

2. **Write the comparison statement:**
Now we can rewrite the original statement using the improper fractions:
\[ \frac{14}{5} \, \text{box} \, \frac{16}{5} \]

3. **Compare the two fractions:**
Since both fractions have the same denominator (5), we only need to compare their numerators:
- The numerator of the first fraction is 14.
- The numerator of the second fraction is 16.

4. **Determine the relationship:**
Since \(16 > 14\), we can conclude:
\[ \frac{14}{5} < \frac{16}{5} \]

5. **Fill in the box:**
Therefore, the correct symbol to fill in the box is:
\[ 2 \frac{4}{5} < 3 \frac{1}{5} \]

### Final Answer:
The completed statement is:
\[ 2 \frac{4}{5} < 3 \frac{1}{5} \]