Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "14.6" was replaced by "(146/10)".

Step  1  :

            73
 Simplify   ——
            5 

Equation at the end of step  1  :

   73          
  (—— +  8) +  17
   5           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

         8     8 • 5
    8 =  —  =  —————
         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:

 73 + 8 • 5     113
 ——————————  =  ———
     5           5 

Equation at the end of step  2  :

  113    
  ——— +  17
   5     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

          17     17 • 5
    17 =  ——  =  ——————
          1        5   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 113 + 17 • 5     198
 ————————————  =  ———
      5            5 

Final result :

  198            
  ——— = 39.60000 
   5