11/12 as decimal

Steps to Solve

1. Set up the division We will divide the numerator (11) by the denominator (12).

$$ 11 \div 12 $$

2. Perform the long division Since 11 is less than 12, we can add a decimal point and zeros to 11. This means we can rewrite the operation as:

$$ 11.00 \div 12 $$

Now, we will see how many times 12 goes into 110 (the first two digits).

3. Calculate the first decimal place 12 goes into 110 approximately 9 times (since $12 \times 9 = 108$). We write down 0.9.

Next, we subtract:

$$ 110 - 108 = 2 $$

4. Bring down the next zero Next, bring down another zero to make it 20. Now we divide again:

$$ 20 \div 12 $$

12 goes into 20 once (since $12 \times 1 = 12$). We append this to our result making it 0.91.

Subtract:

$$ 20 - 12 = 8 $$

5. Continue the process Bring down another zero to make it 80. Then we divide:

$$ 80 \div 12 $$

12 goes into 80 six times (since $12 \times 6 = 72$).

Now our result looks like 0.916. Subtract:

$$ 80 - 72 = 8 $$

6. Repeat for more accuracy As we can see, this pattern will repeat. The more we repeat, the better the decimal approximation we get.

So we find that 11/12 = 0.9166... (with the digit '6' repeating).