Compare the fractions given below and put appropriate symbol (lt, gt or =) in the box.
`1/(3)square2/(4)`

Answer

To compare the fractions \( \frac{1}{3} \) and \( \frac{2}{4} \), we will follow these steps:

### Step 1: Write down the fractions
We have two fractions to compare:
- \( \frac{1}{3} \)
- \( \frac{2}{4} \)

### Step 2: Find a common denominator
To compare the fractions, we need to have the same denominator. The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.

### Step 3: Convert \( \frac{1}{3} \) to have a denominator of 12
To convert \( \frac{1}{3} \) to a fraction with a denominator of 12, we multiply both the numerator and the denominator by 4:
\[ \frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \]

### Step 4: Convert \( \frac{2}{4} \) to have a denominator of 12
Next, we convert \( \frac{2}{4} \) to a fraction with a denominator of 12 by multiplying both the numerator and the denominator by 3:
\[ \frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12} \]

### Step 5: Compare the two fractions
Now we have:
- \( \frac{1}{3} = \frac{4}{12} \)
- \( \frac{2}{4} = \frac{6}{12} \)

Since the denominators are the same, we can compare the numerators:
- \( 4 < 6 \)

### Step 6: Write the comparison
Since \( 4 < 6 \), we can conclude that:
\[ \frac{1}{3} < \frac{2}{4} \]

### Final Answer
The appropriate symbol to put in the box is:
\[ \frac{1}{3} \, \text{(lt)} \, \frac{2}{4} \]

---