Algebra

Decimals to Fractions

Each decimal fraction may be represented as a vulgar fraction. In the case of terminating decimal fractions you simply move the decimal point to the right and take the corresponding power of ten as its denominator.

As for recurring decimal fractions 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 recurring as well as terminating decimal fractions into vulgar fractions after you have entered the non-recurring part of the decimal and the recurring decimal separately.

Example:

non-recurring part : 1.20
recurring decimal  : 045
    ___
1.20045 = 120/100 + 1/2220 = 533/444

Siehe auch:

Wikipedia: Repeating decimal
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