To convert the fraction 8/9 into a decimal, you need to divide the numerator (8) by the denominator (9).
When you perform the division, you can either use long division or a calculator. If you use long division, you would set it up as follows:
- 9 goes into 8, 0 times. Since 8 is less than 9, you start with 0.
- Next, you add a decimal point and a zero, making it 80.
- 9 goes into 80, 8 times, which equals 72. Subtracting 72 from 80 leaves you with 8.
- Add another zero, making it 80 again. Repeat the process!
You will notice that this process will keep yielding 8, meaning the decimal keeps recurring. This results in:
8/9 = 0.888…
An alternative notation to represent this repeating decimal is 0.8̅, where the bar indicates that the digit 8 repeats indefinitely.
In summary, the decimal representation of 8/9 is approximately 0.888… or 0.8̅.