Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "12.95" was replaced by "(1295/100)".

Step  1  :

            259
 Simplify   ———
            20 

Equation at the end of step  1  :

        259
  44 -  ———
        20 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

           44     44 • 20
     44 =  ——  =  ———————
           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:

 44 • 20 - (259)     621
 ———————————————  =  ———
       20            20 

Final result :

  621            
  ——— = 31.05000 
  20