Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.271" was replaced by "(8271/1000)".

Step  1  :

            8271
 Simplify   ————
            1000

Equation at the end of step  1  :

  8271    
  ———— -  7
  1000    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

         7     7 • 1000
    7 =  —  =  ————————
         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:

 8271 - (7 • 1000)     1271
 —————————————————  =  ————
       1000            1000

Final result :

  1271           
  ———— = 1.27100 
  1000