Solution - Adding, subtracting and finding the least common multiple

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     1/4*k-(3*(-1/4*k+3))=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

   1            1
  (—•k)-(3•((0-(—•k))+3))  = 0 
   4            4

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         3     3 • 4
    3 =  —  =  —————
         1       4  

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:

 -k + 3 • 4     12 - k
 ——————————  =  ——————
     4            4   

Equation at the end of step  2  :

   1              (12 - k)
  (— • k) -  (3 • ————————)  = 0 
   4                 4    

Step  3  :

Equation at the end of step  3  :

   1         3 • (12 - k)
  (— • k) -  ————————————  = 0 
   4              4      

Step  4  :

            1
 Simplify   —
            4

Equation at the end of step  4  :

   1         3 • (12 - k)
  (— • k) -  ————————————  = 0 
   4              4      

Step  5  :

Adding fractions which have a common denominator :

 5.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 k - (3 • (12-k))     4k - 36
 ————————————————  =  ———————
        4                4   

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   4k - 36  =   4 • (k - 9) 

Equation at the end of step  6  :

  k - 9  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    k-9 = 0 

 Add  9  to both sides of the equation : 
                      k = 9

One solution was found :