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 :

                     41/2+q-(91/2)=0 

Step by step solution :

Step  1  :

            91
 Simplify   ——
            2 

Equation at the end of step  1  :

   41          91
  (—— +  q) -  ——  = 0 
   2           2 

Step  2  :

            41
 Simplify   ——
            2 

Equation at the end of step  2  :

   41          91
  (—— +  q) -  ——  = 0 
   2           2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

         q     q • 2
    q =  —  =  —————
         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 :

 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:

 41 + q • 2     2q + 41
 ——————————  =  ———————
     2             2   

Equation at the end of step  3  :

  (2q + 41)    91
  ————————— -  ——  = 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:

 (2q+41) - (91)     2q - 50
 ——————————————  =  ———————
       2               2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2q - 50  =   2 • (q - 25) 

Equation at the end of step  5  :

  q - 25  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    q-25 = 0 

 Add  25  to both sides of the equation : 
                      q = 25

One solution was found :