Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "52.3" was replaced by "(523/10)".

Step  1  :

            523
 Simplify   ———
            10 

Equation at the end of step  1  :

  523    
  ——— -  16
  10     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

          16     16 • 10
    16 =  ——  =  ———————
          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:

 523 - (16 • 10)     363
 ———————————————  =  ———
       10            10 

Final result :

  363            
  ——— = 36.30000 
  10