Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.16" was replaced by "(416/100)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                (484/100)-(-(416/100)-t)<0 

Step by step solution :

Step  1  :

            104
 Simplify   ———
            25 

Equation at the end of step  1  :

  484           104     
  ——— -  ((0 -  ———) -  t)  < 0 
  100           25      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  25  as the denominator :

         t     t • 25
    t =  —  =  ——————
         1       25  

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:

 -104 - (t • 25)     -25t - 104
 ———————————————  =  ——————————
       25                25    

Equation at the end of step  2  :

  484    (-25t - 104)
  ——— -  ————————————  < 0 
  100         25     

Step  3  :

            121
 Simplify   ———
            25 

Equation at the end of step  3  :

  121    (-25t - 104)
  ——— -  ————————————  < 0 
  25          25     

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -25t - 104  =   -1 • (25t + 104) 

Adding fractions which have a common denominator :

 5.2       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:

 121 - ((-25t-104))     25t + 225
 ——————————————————  =  —————————
         25                25    

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   25t + 225  =   25 • (t + 9) 

Equation at the end of step  6  :

  t + 9  < 0 

Step  7  :

Solve Basic Inequality :

 7.1      Subtract  9  from both sides

            t < -9

Inequality Plot :

 7.2      Inequality plot for

         t  + 9.000  <  0

  
 

One solution was found :