Compare the fractions given below and put appropriate symbol (lt, gt or =) in the box.
`1/(6)square3/(4)`

Answer

To compare the fractions \( \frac{1}{6} \) and \( \frac{3}{4} \), we can follow these steps:

### Step 1: Convert the fractions to decimals
- For \( \frac{1}{6} \):
\[ \frac{1}{6} \approx 0.1667 \quad (\text{using long division or a calculator}) \]

- For \( \frac{3}{4} \):
\[ \frac{3}{4} = 0.75 \quad (\text{since } 3 \div 4 = 0.75) \]

### Step 2: Compare the decimal values
Now we have:
- \( \frac{1}{6} \approx 0.1667 \)
- \( \frac{3}{4} = 0.75 \)

### Step 3: Determine the relationship between the two decimals
Since \( 0.1667 < 0.75 \), we can conclude that:
\[ \frac{1}{6} < \frac{3}{4} \]

### Final Answer
We can put the appropriate symbol in the box:
\[ \frac{1}{6} \, \text{(lt)} \, \frac{3}{4} \]

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