Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "27.5" was replaced by "(275/10)".

Step  1  :

            55
 Simplify   ——
            2 

Equation at the end of step  1  :

              55
  180 +  (5 • ——)
              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 :

            180     180 • 2
     180 =  ———  =  ———————
             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:

 180 • 2 + 275     635
 —————————————  =  ———
       2            2 

Final result :

  635             
  ——— = 317.50000 
   2