Question
What is 8/11 as a repeating decimal
Answers
GPT 3.5
To convert 8/11 into a repeating decimal, divide 8 by 11 using long division:
0. 7 2 7 2 7 2 7 2 7 2
11 ) 8. 0 0 0 0 0 0 0 0 0 0
- 7 7 0 0 0 0 0 0 0 0
1 3 0 0 0 0 0 0 0 0 0
- 1 1 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0
- 1 8 7 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0
- 1 8 7 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0
The division keeps repeating the remainder 20 after every subtraction, reminding us that this will be a repeating decimal.
Therefore, 8/11 as a repeating decimal is 0.727272...
0. 7 2 7 2 7 2 7 2 7 2
11 ) 8. 0 0 0 0 0 0 0 0 0 0
- 7 7 0 0 0 0 0 0 0 0
1 3 0 0 0 0 0 0 0 0 0
- 1 1 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0
- 1 8 7 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0
- 1 8 7 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0
The division keeps repeating the remainder 20 after every subtraction, reminding us that this will be a repeating decimal.
Therefore, 8/11 as a repeating decimal is 0.727272...