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 :

                t-((450/4+3)+(450/4-3))=0 

Step by step solution :

Step  1  :

            225
 Simplify   ———
             2 

Equation at the end of step  1  :

         450           225    
  t -  ((——— +  3) +  (——— -  3))  = 0 
          4             2     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

         3     3 • 2
    3 =  —  =  —————
         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:

 225 - (3 • 2)     219
 —————————————  =  ———
       2            2 

Equation at the end of step  2  :

         450          219
  t -  ((——— +  3) +  ———)  = 0 
          4            2 

Step  3  :

            225
 Simplify   ———
             2 

Equation at the end of step  3  :

         225          219
  t -  ((——— +  3) +  ———)  = 0 
          2            2 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

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

         3     3 • 2
    3 =  —  =  —————
         1       2  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 225 + 3 • 2     231
 ———————————  =  ———
      2           2 

Equation at the end of step  4  :

        231    219
  t -  (——— +  ———)  = 0 
         2      2 

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 231 + 219     225
 —————————  =  ———
     2          1 

Equation at the end of step  5  :

       225
  t -  ———  = 0 
        1 

Step  6  :

Equation at the end of step  6  :

  t - 225  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    t-225 = 0 

 Add  225  to both sides of the equation : 
                      t = 225

One solution was found :