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 :

                     6*d-11/2-(2*d-13/2)=0 

Step by step solution :

Step  1  :

            13
 Simplify   ——
            2 

Equation at the end of step  1  :

         11            13
  (6d -  ——) -  (2d -  ——)  = 0 
         2             2 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

           2d     2d • 2
     2d =  ——  =  ——————
           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:

 2d • 2 - (13)     4d - 13
 —————————————  =  ———————
       2              2   

Equation at the end of step  2  :

         11     (4d - 13)
  (6d -  ——) -  —————————  = 0 
         2          2    

Step  3  :

            11
 Simplify   ——
            2 

Equation at the end of step  3  :

         11     (4d - 13)
  (6d -  ——) -  —————————  = 0 
         2          2    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

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

           6d     6d • 2
     6d =  ——  =  ——————
           1        2   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 6d • 2 - (11)     12d - 11
 —————————————  =  ————————
       2              2    

Equation at the end of step  4  :

  (12d - 11)    (4d - 13)
  —————————— -  —————————  = 0 
      2             2    

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:

 (12d-11) - ((4d-13))     8d + 2
 ————————————————————  =  ——————
          2                 2   

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   8d + 2  =   2 • (4d + 1) 

Equation at the end of step  6  :

  4d + 1  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    4d+1 = 0 

 Subtract  1  from both sides of the equation : 
                      4d = -1
Divide both sides of the equation by 4:
                     d = -1/4 = -0.250

One solution was found :