The easiest way to solve this kind of problem is to muliply the number so that all the digits that are NOT part of the recurring portion are to the left of the decimal point.
In this case we multiply by 1000 so that the 0.208 becomes 208.
Also, let the original number be represented by a.
0.2083 (3 recurring) x 1000 = 208.3 (3 recurring) = 1000a
Now subtract the original number :
1000a - a = 999a = 208.3 (3 recurring) - 0.2083 (3 recurring) = 208.125
Then, a = 208.125/999
If this is expanded to become 208125/999000 then it simplifies to 5/24.
7/30 cannot be simplified.7/30 cannot be simplified.7/30 cannot be simplified.7/30 cannot be simplified.
It can not be simplified further.
It is simplified.
No it can not be simplified
10.9 cannot be simplified.
That can't be simplified further.
67.5 cannot be simplified.
can not be simplified
it is already simplified
What is 2.75 simplified
700 is already simplified
0.023 cannot be simplified.