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 :

                     z-91/3-(15/9)=0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            3

Equation at the end of step  1  :

        91     5
  (z -  ——) -  —  = 0 
        3      3

Step  2  :

            91
 Simplify   ——
            3 

Equation at the end of step  2  :

        91     5
  (z -  ——) -  —  = 0 
        3      3

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

          z     z • 3
     z =  —  =  —————
          1       3  

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:

 z • 3 - (91)     3z - 91
 ————————————  =  ———————
      3              3   

Equation at the end of step  3  :

  (3z - 91)    5
  ————————— -  —  = 0 
      3        3

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:

 (3z-91) - (5)     3z - 96
 —————————————  =  ———————
       3              3   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   3z - 96  =   3 • (z - 32) 

Equation at the end of step  5  :

  z - 32  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    z-32 = 0 

 Add  32  to both sides of the equation : 
                      z = 32

One solution was found :