Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.9965" was replaced by "(9965/10000)".

Step  1  :

            1993
 Simplify   ————
            2000

Equation at the end of step  1  :

       1993
  1 -  ————
       2000

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2000  as the denominator :

          1     1 • 2000
     1 =  —  =  ————————
          1       2000  

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:

 2000 - (1993)       7 
 —————————————  =  ————
     2000          2000

Final result :

    7            
  ———— = 0.00350 
  2000