Solution - Reducing fractions to their lowest terms

Step by step solution :

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

            2
  3 • (y -  —)  = 0 
            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 :

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

 y • 3 - (2)     3y - 2
 ———————————  =  ——————
      3            3   

Equation at the end of step  2  :

      (3y - 2)
  3 • ————————  = 0 
         3    

Step  3  :

Equation at the end of step  3  :

  3y - 2  = 0 

Step  4  :

Solving a Single Variable Equation :

 4.1      Solve  :    3y-2 = 0 

 Add  2  to both sides of the equation : 
                      3y = 2
Divide both sides of the equation by 3:
                     y = 2/3 = 0.667

One solution was found :