Solution - Reducing fractions to their lowest terms

Step  1  :

            1
 Simplify   —
            3

Equation at the end of step  1  :

   1           
  (— • x2) +  2x
   3           

Step  2  :

Equation at the end of step  2  :

  x2    
  —— +  2x
  3     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

          2x     2x • 3
    2x =  ——  =  ——————
          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:

 x2 + 2x • 3     x2 + 6x
 ———————————  =  ———————
      3             3   

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   x² + 6x  =   x • (x + 6) 

Final result :

  x • (x + 6)
  ———————————
       3