Use long division to convert 11/20

Question

to a decimal.

Answer 1

To convert 11/20 to a decimal using long division, follow these steps:

1. Set up the division problem with the numerator (11) inside the long division symbol and the denominator (20) outside the division symbol, like this:

0.
20 ) 11

2. Divide the numerator (11) by the first digit of the denominator (20). In this case, 11 ÷ 2 = 5.

0.5
20 ) 11

3. Multiply the number you obtained in step 2 (5) by the denominator (20). In this case, 5 × 20 = 100.

_____
0.5
20 ) 11
- 10
____
10

4. Subtract the result from the numerator (11) by the product obtained in step 3 (100). In this case, 11 - 100 = -89.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89

5. Add a decimal point to the quotient obtained in step 2 (5). Then, bring down the next digit from the dividend (-89).

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80

6. Divide the new dividend (-89) by the denominator (20). In this case, -89 ÷ 20 = -4.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
____
- 90

7. Multiply the number you obtained in step 6 (-4) by the denominator (20). In this case, -4 × 20 = -80.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
______
- 90

8. Subtract the result from the dividend (-89) by the product obtained in step 7 (-80). In this case, -89 - (-80) = -9.

_____
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
_______
- 90
- 80
________
- 90
- 80
_________
- 10

9. Since the result of the subtraction is less than the denominator (20), divide the new dividend (-9) by the denominator (20) to get the next digit of the decimal. In this case, -9 ÷ 20 = 0.

________
0.55
20 ) 11
- 10
____
10
- 10
____
- 89
- 80
_______
- 90
- 80
________
- 90
- 80
_________
- 10
_______
- 0.45

10. Continue the division process until the remainder (dividend) becomes zero or starts repeating. In this case, the remainder after step 9 is zero, so the final answer is 0.55.