Solution - Reducing fractions to their lowest terms

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

        1         
  4 • ((— • x) -  1)  = 0 
        2         

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         1     1 • 2
    1 =  —  =  —————
         1       2  

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:

 x - (2)     x - 2
 ———————  =  —————
    2          2  

Equation at the end of step  2  :

      (x - 2)
  4 • ———————  = 0 
         2   

Step  3  :

Equation at the end of step  3  :

  2 • (x - 2)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 4.2      Solve  :    x-2 = 0 

 Add  2  to both sides of the equation : 
                      x = 2

One solution was found :