Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.33" was replaced by "(133/100)". 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 :

                (1667/100)-(-(133/100)-t)>0 

Step by step solution :

Step  1  :

            133
 Simplify   ———
            100

Equation at the end of step  1  :

  1667           133     
  ———— -  ((0 -  ———) -  t)  > 0 
  100            100     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  100  as the denominator :

         t     t • 100
    t =  —  =  ———————
         1       100  

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:

 -133 - (t • 100)     -100t - 133
 ————————————————  =  ———————————
       100                100    

Equation at the end of step  2  :

  1667    (-100t - 133)
  ———— -  —————————————  > 0 
  100          100     

Step  3  :

            1667
 Simplify   ————
            100 

Equation at the end of step  3  :

  1667    (-100t - 133)
  ———— -  —————————————  > 0 
  100          100     

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -100t - 133  =   -1 • (100t + 133) 

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:

 1667 - ((-100t-133))     100t + 1800
 ————————————————————  =  ———————————
         100                  100    

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   100t + 1800  =   100 • (t + 18) 

Equation at the end of step  6  :

  t + 18  > 0 

Step  7  :

Solve Basic Inequality :

 7.1      Subtract  18  from both sides

            t > -18

Inequality Plot :

 7.2      Inequality plot for

         t  + 18.000  >  0

  
 

One solution was found :