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 :

                     21/4+y-(53/4)=0 

Step by step solution :

Step  1  :

            53
 Simplify   ——
            4 

Equation at the end of step  1  :

   21          53
  (—— +  y) -  ——  = 0 
   4           4 

Step  2  :

            21
 Simplify   ——
            4 

Equation at the end of step  2  :

   21          53
  (—— +  y) -  ——  = 0 
   4           4 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         y     y • 4
    y =  —  =  —————
         1       4  

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:

 21 + y • 4     4y + 21
 ——————————  =  ———————
     4             4   

Equation at the end of step  3  :

  (4y + 21)    53
  ————————— -  ——  = 0 
      4        4 

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:

 (4y+21) - (53)     4y - 32
 ——————————————  =  ———————
       4               4   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4y - 32  =   4 • (y - 8) 

Equation at the end of step  5  :

  y - 8  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    y-8 = 0 

 Add  8  to both sides of the equation : 
                      y = 8

One solution was found :