Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.14" was replaced by "(814/100)".

Step  1  :

            407
 Simplify   ———
            50 

Equation at the end of step  1  :

  407    
  ——— +  5
  50     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

         5     5 • 50
    5 =  —  =  ——————
         1       50  

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 • 50     657
 ————————————  =  ———
      50          50 

Final result :

  657            
  ——— = 13.14000 
  50