Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

         5     
  (18 +  —) +  400
         2     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

           18     18 • 2
     18 =  ——  =  ——————
           1        2   

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:

 18 • 2 + 5     41
 ——————————  =  ——
     2          2 

Equation at the end of step  2  :

  41    
  —— +  400
  2     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

           400     400 • 2
    400 =  ———  =  ———————
            1         2   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 41 + 400 • 2     841
 ————————————  =  ———
      2            2 

Final result :

  841             
  ——— = 420.50000 
   2