Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            1

Equation at the end of step  1  :

  26    
  —— -  3
  6     

Step  2  :

            13
 Simplify   ——
            3 

Equation at the end of step  2  :

  13    
  —— -  3
  3     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

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

 13 - (3 • 3)     4
 ————————————  =  —
      3           3

Final result :

  4           
  — = 1.33333 
  3