How do you find the repeating decimal 0.231 with 31 repeated as a fraction?
2 Answers
Oct 20, 2016
The answer is
Explanation:
Starting from the second number we have an infinite sum of a convergent geometric sequence with:
So we can write the whole decimal as:
Oct 20, 2016
Explanation:
let
because TWO digits repeat
we have therefore:
&
Subtracting the two the repeating 31s will all cancel
we are left with