Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "782.1" was replaced by "(7821/10)".

Step  1  :

            7821
 Simplify   ————
             10 

Equation at the end of step  1  :

  7821    
  ———— +  932
   10     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  10  as the denominator :

           932     932 • 10
    932 =  ———  =  ————————
            1         10   

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:

 7821 + 932 • 10     17141
 ———————————————  =  —————
       10             10  

Final result :

  17141              
  ————— = 1714.10000 
   10