Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "758.92" was replaced by "(75892/100)". 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 :

                (1556/100)*x-200-((75892/100))<0 

Step by step solution :

Step  1  :

            18973
 Simplify   —————
             25  

Equation at the end of step  1  :

    1556                 18973
  ((———— • x) -  200) -  —————  < 0 
    100                   25  

Step  2  :

            389
 Simplify   ———
            25 

Equation at the end of step  2  :

    389                 18973
  ((——— • x) -  200) -  —————  < 0 
    25                   25  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

           200     200 • 25
    200 =  ———  =  ————————
            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 :

 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:

 389x - (200 • 25)     389x - 5000
 —————————————————  =  ———————————
        25                 25     

Equation at the end of step  3  :

  (389x - 5000)    18973
  ————————————— -  —————  < 0 
       25           25  

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:

 (389x-5000) - (18973)     389x - 23973
 —————————————————————  =  ————————————
          25                    25     

Equation at the end of step  4  :

  389x - 23973
  ————————————  < 0 
       25     

Step  5  :

 5.1    Multiply both sides by  25 

 5.2    Divide both sides by  389  

      x-(23973/389)  < 0

Solve Basic Inequality :

 5.3      Add  23973/389  to both sides

             x < 23973/389

Inequality Plot :

 5.4      Inequality plot for

         15.560 x  - 958.920  <  0

  
 

One solution was found :