Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "81.4" was replaced by "(814/10)".

Step  1  :

            407
 Simplify   ———
             5 

Equation at the end of step  1  :

  407    
  ——— -  5
   5     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         5     5 • 5
    5 =  —  =  —————
         1       5  

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:

 407 - (5 • 5)     382
 —————————————  =  ———
       5            5 

Final result :

  382            
  ——— = 76.40000 
   5