Decimals to Fractions
Each decimal may be represented as a fraction. In the case of a terminating decimal you simply move the decimal point to the right and take the corresponding power of ten as its denominator.
As for repeating decimals see formulas below:
_ _ _
0.1 = 1/9 , 0.2 = 2/9 , ... , 0.9 = 9/9 = 1
_ _
0.01 = 1/90 , 0.02 = 2/90 , ...
__ __ ___
0.01 = 1/99 , 0.02 = 2/99 , ... 0.000001 = 1/999000
The program transforms repeating as well as terminating decimals into fractions after you have entered the non-repeating part of the decimal and the repeating digits separately.
Example:
Non-repeating part : 1.20
Non repeating block : 045
___
1.20045 = 120/100 + 45/99900 = 533/444