Answer:
1/81, if you meant 0.012345679012345679012345679012345679...
Otherwise, the answer you got from the other brainly user is correct and is in the simpliest form.
Step-by-step explanation:
Step 1: Let x = 0.012345679012345679012345679...
Step 2: The repeating decimals are in a group of 9s. In another word, every digit repeats in every 9 digits apart of each other. Use that as an exponent and raise it to base 10. So, it's 10^9.
Step 3: Multiply 10^9 by x. You get
1000000000x=12345679.012345679012345679012345679...
Step 4: minus x on the left side of the equation and 0.012345679... on the other side
1000000000x - x = 9999999999x
12345679.012345679... - 0.012345679012345679... = 12345679
Which is: 999999999x = 12345679
Step 5: divide 999999999 on both sides
You get x=12345679/999999999
Step 6: Simplify the fraction. The GCF of the numerator and denominator is 12345679. Divide both the numerator and the denominator by the GCF and you get 1/81.
So, 0.012345679012345679012345679... = 1/81
I know this response is a bit late, but it's useful for future reference :)
