Solution - Reducing fractions to their lowest terms

Step  1  :

            11
 Simplify   ——
            3 

Equation at the end of step  1  :

       31          11
  (3 • ——) +  (2 • ——)
       3           3 

Step  2  :

            31
 Simplify   ——
            3 

Equation at the end of step  2  :

       31     22
  (3 • ——) +  ——
       3      3 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  3  as the denominator :

           31     31 • 3
     31 =  ——  =  ——————
           1        3   

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 :

 3.2       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:

 31 • 3 + 22     115
 ———————————  =  ———
      3           3 

Final result :

  115            
  ——— = 38.33333 
   3