Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.3413" was replaced by "(3413/10000)".

Step  1  :

             3413
 Simplify   —————
            10000

Equation at the end of step  1  :

        3413
  1 -  —————
       10000

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10000  as the denominator :

          1     1 • 10000
     1 =  —  =  —————————
          1       10000  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 10000 - (3413)      6587
 ——————————————  =  —————
     10000          10000

Final result :

   6587           
  ————— = 0.65870 
  10000