Solution - Reducing fractions to their lowest terms

Step  1  :

            2
 Simplify   —
            5

Equation at the end of step  1  :

        2
  6x -  —
        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

           6x     6x • 5
     6x =  ——  =  ——————
           1        5   

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:

 6x • 5 - (2)     30x - 2
 ————————————  =  ———————
      5              5   

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   30x - 2  =   2 • (15x - 1) 

Final result :

  2 • (15x + 1)
  —————————————
        5