Solution - Reducing fractions to their lowest terms

Step  1  :

            4
 Simplify   —
            3

Equation at the end of step  1  :

           4
  (m2) -  (— • m)
           3
 Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

           m2     m2 • 3
     m2 =  ——  =  ——————
           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:

 m2 • 3 - (4m)     3m2 - 4m
 —————————————  =  ————————
       3              3    

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   3m² - 4m  =   m • (3m - 4) 

Final result :

  m • (3m + 4)
  ————————————
       3