Solution - Reducing fractions to their lowest terms

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

  2    
  — +  1
  3    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

         1     1 • 3
    1 =  —  =  —————
         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 :

 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:

 2 + 3     5
 —————  =  —
   3       3

Final result :

  5           
  — = 1.66667 
  3