What is 8/11 as a repeating decimal
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...
To convert 8/11 into a repeating decimal, follow these steps:
Step 1: Divide 8 by 11:
0.727272...
Step 2: Notice that the number 72 repeats. To show this, place a line (known as a vinculum) over the repeating digit(s). In this case, it's 72.
0.72̅
Therefore, 8/11 as a repeating decimal is 0.72̅.