Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.6" was replaced by "(36/10)".

Step  1  :

            18
 Simplify   ——
            5 

Equation at the end of step  1  :

         18
  -3x -  ——
         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 :

            -3x     -3x • 5
     -3x =  ———  =  ———————
             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:

 -3x • 5 - (18)     -15x - 18
 ——————————————  =  —————————
       5                5    

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -15x - 18  =   -3 • (5x + 6) 

Final result :

  +3 • (5x + 6)
  —————————————
        5