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 :

                     3/2-(5*d-1/2)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

  3           1
  — -  (5d -  —)  = 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 :

           5d     5d • 2
     5d =  ——  =  ——————
           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:

 5d • 2 - (1)     10d - 1
 ————————————  =  ———————
      2              2   

Equation at the end of step  2  :

  3    (10d - 1)
  — -  —————————  = 0 
  2        2    

Step  3  :

            3
 Simplify   —
            2

Equation at the end of step  3  :

  3    (10d - 1)
  — -  —————————  = 0 
  2        2    

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:

 3 - ((10d-1))     4 - 10d
 —————————————  =  ———————
       2              2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4 - 10d  =   -2 • (5d - 2) 

Equation at the end of step  5  :

  2 - 5d  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    -5d+2 = 0 

 Subtract  2  from both sides of the equation : 
                      -5d = -2
Multiply both sides of the equation by (-1) :  5d = 2


Divide both sides of the equation by 5:
                     d = 2/5 = 0.400

One solution was found :