Fill in the boxes by the symbol `lt or gt` to make the given statements true :
`5/11 square 3/7`

Answer

To compare the fractions \( \frac{5}{11} \) and \( \frac{3}{7} \) and fill in the boxes with the correct symbol (`lt` for less than or `gt` for greater than), we can follow these steps:

### Step 1: Identify the fractions
We have two fractions to compare:
- \( \frac{5}{11} \)
- \( \frac{3}{7} \)

### Step 2: Use cross multiplication
To compare the two fractions, we can use the cross multiplication method. This means we will multiply the numerator of the first fraction by the denominator of the second fraction and vice versa.

- Multiply the numerator of the first fraction by the denominator of the second fraction:
\[ 5 \times 7 = 35 \]

- Multiply the denominator of the first fraction by the numerator of the second fraction:
\[ 11 \times 3 = 33 \]

### Step 3: Compare the results
Now we compare the two products obtained from the cross multiplication:
- \( 35 \) (from \( 5 \times 7 \))
- \( 33 \) (from \( 11 \times 3 \))

Since \( 35 \) is greater than \( 33 \), we can conclude that:
\[ \frac{5}{11} > \frac{3}{7} \]

### Step 4: Fill in the box
Based on our comparison, we can fill in the box with the symbol `gt` (greater than):
\[ \frac{5}{11} \, \text{gt} \, \frac{3}{7} \]

### Final Answer
The final statement is:
\[ \frac{5}{11} \, gt \, \frac{3}{7} \]

---