Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.978" was replaced by "(5978/1000)".

Step  1  :

            2989
 Simplify   ————
            500 

Equation at the end of step  1  :

  2989    
  ———— +  100
  500     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  500  as the denominator :

           100     100 • 500
    100 =  ———  =  —————————
            1         500   

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:

 2989 + 100 • 500     52989
 ————————————————  =  —————
       500             500 

Final result :

  52989             
  ————— = 105.97800 
   500