Answer:
2/3
Step-by-step explanation:
Let n = the repeating, non-terminating number 0.666...
We now have n = 0.666666...
We want the number n in the form of a fraction.
Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.
10n = 6.666666...
n = 0.666666...
Subtract the bottom equation from the top equation.
9n = 6
n = 6/9
n = 2/3
