Fill in `lt` or `gt` sign in the boxes without actually carrying out the multiplication.
i. ` (11)/(3) xx (6)/(5) square (11)/(3)" "(11)/(3) xx (6)/(5) square (6)/(5)`

Answer

To solve the question, we need to compare the two expressions without actually performing the multiplication. Let's break it down step by step.

### Step 1: Analyze the first expression
We have:
\[ \frac{11}{3} \times \frac{6}{5} \quad \text{and} \quad \frac{11}{3} \]
In this case, the left side has \(\frac{11}{3}\) multiplied by \(\frac{6}{5}\). Since we are multiplying \(\frac{11}{3}\) by a positive fraction (\(\frac{6}{5}\)), the left side will be greater than the right side.

### Conclusion for Step 1:
\[ \frac{11}{3} \times \frac{6}{5} \quad \text{is} \quad gt \quad \frac{11}{3} \]

### Step 2: Analyze the second expression
Now we look at:
\[ \frac{11}{3} \times \frac{6}{5} \quad \text{and} \quad \frac{6}{5} \]
Here, the left side again has \(\frac{11}{3}\) multiplied by \(\frac{6}{5}\). Similar to the previous case, since \(\frac{11}{3}\) is a positive fraction, the left side will also be greater than the right side.

### Conclusion for Step 2:
\[ \frac{11}{3} \times \frac{6}{5} \quad \text{is} \quad gt \quad \frac{6}{5} \]

### Final Answer:
1. \(\frac{11}{3} \times \frac{6}{5} \quad gt \quad \frac{11}{3}\)
2. \(\frac{11}{3} \times \frac{6}{5} \quad gt \quad \frac{6}{5}\)

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