Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.689" was replaced by "(689/1000)".

Step  1  :

             689
 Simplify   ————
            1000

Equation at the end of step  1  :

        689
  1 -  ————
       1000

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  1000  as the denominator :

          1     1 • 1000
     1 =  —  =  ————————
          1       1000  

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:

 1000 - (689)      311
 ————————————  =  ————
     1000         1000

Final result :

   311           
  ———— = 0.31100 
  1000