Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "20.25" was replaced by "(2025/100)".

Step  1  :

            81
 Simplify   ——
            4 

Equation at the end of step  1  :

         81     
  (36 +  ——) +  1
         4      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  4  as the denominator :

           36     36 • 4
     36 =  ——  =  ——————
           1        4   

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:

 36 • 4 + 81     225
 ———————————  =  ———
      4           4 

Equation at the end of step  2  :

  225    
  ——— +  1
   4     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         1     1 • 4
    1 =  —  =  —————
         1       4  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 225 + 4     229
 ———————  =  ———
    4         4 

Final result :

  229            
  ——— = 57.25000 
   4