Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.65" was replaced by "(965/100)".

Step  1  :

            193
 Simplify   ———
            20 

Equation at the end of step  1  :

  193    
  ——— +  102
  20     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

           102     102 • 20
    102 =  ———  =  ————————
            1         20   

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:

 193 + 102 • 20     2233
 ——————————————  =  ————
       20            20 

Final result :

  2233             
  ———— = 111.65000 
   20