Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "72.25" was replaced by "(7225/100)".

Step  1  :

            289
 Simplify   ———
             4 

Equation at the end of step  1  :

  289    
  ——— -  69
   4     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

          69     69 • 4
    69 =  ——  =  ——————
          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:

 289 - (69 • 4)     13
 ——————————————  =  ——
       4            4 

Final result :

  13           
  —— = 3.25000 
  4