Fill in the blanks :
`11/30 = ........`

Answer

To solve the problem \( \frac{11}{30} = \ldots \), we need to divide 11 by 30. Here’s a step-by-step solution:

### Step 1: Set up the division
We start by setting up the division of 11 by 30. Since 11 is less than 30, we will add a decimal point and a zero to 11 to make it 110.

### Step 2: Divide 110 by 30
Now, we divide 110 by 30. We see how many times 30 can fit into 110.

- 30 goes into 110 three times (because \( 30 \times 3 = 90 \)).
- Write down 3 after the decimal point.

### Step 3: Subtract and bring down the next zero
Now, we subtract 90 from 110:
\[ 110 - 90 = 20 \]
Next, we bring down another zero, making it 200.

### Step 4: Divide 200 by 30
Now, we divide 200 by 30.

- 30 goes into 200 six times (because \( 30 \times 6 = 180 \)).
- Write down 6 after the 3, making it 0.36.

### Step 5: Subtract and bring down the next zero again
Now, we subtract 180 from 200:
\[ 200 - 180 = 20 \]
Again, we bring down another zero, making it 200 once more.

### Step 6: Observe the repeating pattern
We can see that we are back to dividing 200 by 30 again, which will yield 6 again. This indicates that the decimal will repeat.

### Final Answer
Thus, we can conclude that:
\[ \frac{11}{30} = 0.36\overline{6} \]
or simply \( 0.3666... \)