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 :

                     k-(-5/6)-(-1/6)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            6

Equation at the end of step  1  :

              5            1
  (k -  (0 -  —)) -  (0 -  —)  = 0 
              6            6

Step  2  :

            5
 Simplify   —
            6

Equation at the end of step  2  :

              5      -1
  (k -  (0 -  —)) -  ——  = 0 
              6      6 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  6  as the denominator :

          k     k • 6
     k =  —  =  —————
          1       6  

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 :

 3.2       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 • 6 - (-5)     6k + 5
 ————————————  =  ——————
      6             6   

Equation at the end of step  3  :

  (6k + 5)    -1
  ———————— -  ——  = 0 
     6        6 

Step  4  :

Adding fractions which have a common denominator :

 4.1       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:

 (6k+5) - (-1)     6k + 6
 —————————————  =  ——————
       6             6   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   6k + 6  =   6 • (k + 1) 

Equation at the end of step  5  :

  k + 1  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    k+1 = 0 

 Subtract  1  from both sides of the equation : 
                      k = -1

One solution was found :