What is 0.166 (repeating) as a fraction?
1 Answer
It can be written as
Explanation:
The task is not complete because you did not indicate which part of the number is repeating. I solve it as if
Note: to indicate the period of such decimals you can either put it in brackets:
Solution
From the last sum you can see that it is a sum of an infinite geometrical sequence, where:
Since
Now we have to expand the fraction by 1000 to make both numerator and denominator integer numbers: