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 :

                     6/5*r-1-(1/5*r)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

    6                1
  ((— • r) -  1) -  (— • r)  = 0 
    5                5

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

    6               r
  ((— • r) -  1) -  —  = 0 
    5               5

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         1     1 • 5
    1 =  —  =  —————
         1       5  

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:

 6r - (5)     6r - 5
 ————————  =  ——————
    5           5   

Equation at the end of step  3  :

  (6r - 5)    r
  ———————— -  —  = 0 
     5        5

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:

 (6r-5) - (r)     5r - 5
 ————————————  =  ——————
      5             5   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   5r - 5  =   5 • (r - 1) 

Equation at the end of step  5  :

  r - 1  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    r-1 = 0 

 Add  1  to both sides of the equation : 
                      r = 1

One solution was found :