Solution - Reducing fractions to their lowest terms

Step  1  :

             64
 Simplify   ———
            225

Equation at the end of step  1  :

        64
  1 +  ———
       225

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  225  as the denominator :

          1     1 • 225
     1 =  —  =  ———————
          1       225  

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:

 225 + 64     289
 ————————  =  ———
   225        225

Final result :

  289           
  ——— = 1.28444 
  225