Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.13" was replaced by "(513/100)".

Step  1  :

            513
 Simplify   ———
            100

Equation at the end of step  1  :

  513    
  ——— -  1
  100    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  100  as the denominator :

         1     1 • 100
    1 =  —  =  ———————
         1       100  

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:

 513 - (100)     413
 ———————————  =  ———
     100         100

Final result :

  413           
  ——— = 4.13000 
  100