Solution - Reducing fractions to their lowest terms

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

           2     
  ((32) -  —) +  4
           3     

Step  2  :

Equation at the end of step  2  :

         2     
  (32 -  —) +  4
         3     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

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

           32     32 • 3
     32 =  ——  =  ——————
           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:

 32 • 3 - (2)     25
 ————————————  =  ——
      3           3 

Equation at the end of step  3  :

  25    
  —— +  4
  3     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

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

         4     4 • 3
    4 =  —  =  —————
         1       3  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 25 + 4 • 3     37
 ——————————  =  ——
     3          3 

Final result :

  37            
  —— = 12.33333 
  3