Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            4

Equation at the end of step  1  :

         3
  228 -  —
         4

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

            228     228 • 4
     228 =  ———  =  ———————
             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:

 228 • 4 - (3)     909
 —————————————  =  ———
       4            4 

Final result :

  909             
  ——— = 227.25000 
   4