Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "27.9" was replaced by "(279/10)".

Step  1  :

            279
 Simplify   ———
            10 

Equation at the end of step  1  :

        279
  81 -  ———
        10 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           81     81 • 10
     81 =  ——  =  ———————
           1        10   

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:

 81 • 10 - (279)     531
 ———————————————  =  ———
       10            10 

Final result :

  531            
  ——— = 53.10000 
  10