Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "15.66" was replaced by "(1566/100)". 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 :

                -(846/100)-(k-(1566/100))<0 

Step by step solution :

Step  1  :

            783
 Simplify   ———
            50 

Equation at the end of step  1  :

        846           783
  (0 -  ———) -  (k -  ———)  < 0 
        100           50 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  50  as the denominator :

          k     k • 50
     k =  —  =  ——————
          1       50  

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:

 k • 50 - (783)     50k - 783
 ——————————————  =  —————————
       50              50    

Equation at the end of step  2  :

        846     (50k - 783)
  (0 -  ———) -  ———————————  < 0 
        100         50     

Step  3  :

            423
 Simplify   ———
            50 

Equation at the end of step  3  :

        423     (50k - 783)
  (0 -  ———) -  ———————————  < 0 
        50          50     

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:

 -423 - ((50k-783))     360 - 50k
 ——————————————————  =  —————————
         50                50    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   360 - 50k  =   -10 • (5k - 36) 

Equation at the end of step  5  :

  -10 • (5k - 36)
  ———————————————  < 0 
        50       

Step  6  :

 6.1    Multiply both sides by  50 

 6.2    Divide both sides by  -10 

Remember to flip the inequality sign:

 6.3    Divide both sides by  5  

      k-(36/5)  > 0

Solve Basic Inequality :

 6.4      Add  36/5  to both sides

             k > 36/5

Inequality Plot :

 6.5      Inequality plot for

         -X  + 7.200  >  0

  
 

One solution was found :