Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.84" was replaced by "(784/100)".

Step  1  :

            196
 Simplify   ———
            25 

Equation at the end of step  1  :

        196
  50 -  ———
        25 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  25  as the denominator :

           50     50 • 25
     50 =  ——  =  ———————
           1        25   

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:

 50 • 25 - (196)     1054
 ———————————————  =  ————
       25             25 

Final result :

  1054            
  ———— = 42.16000 
   25