Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "102.405" was replaced by "(102405/1000)".

Step  1  :

            20481
 Simplify   —————
             200 

Equation at the end of step  1  :

   20481          
  (————— +  9) +  899
    200           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  200  as the denominator :

         9     9 • 200
    9 =  —  =  ———————
         1       200  

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:

 20481 + 9 • 200     22281
 ———————————————  =  —————
       200            200 

Equation at the end of step  2  :

  22281    
  ————— +  899
   200     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  200  as the denominator :

           899     899 • 200
    899 =  ———  =  —————————
            1         200   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 22281 + 899 • 200     202081
 —————————————————  =  ——————
        200             200  

Final result :

  202081              
  —————— = 1010.40500 
   200