Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "26.83" was replaced by "(2683/100)". 2 more similar replacement(s)

Rearrange:

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

                (1013/100)+k-((2683/100))≤0 

Step by step solution :

Step  1  :

            2683
 Simplify   ————
            100 

Equation at the end of step  1  :

   1013          2683
  (———— +  k) -  ————  ≤ 0 
   100           100 

Step  2  :

            1013
 Simplify   ————
            100 

Equation at the end of step  2  :

   1013          2683
  (———— +  k) -  ————  ≤ 0 
   100           100 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

         k     k • 100
    k =  —  =  ———————
         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 :

 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:

 1013 + k • 100     100k + 1013
 ——————————————  =  ———————————
      100               100    

Equation at the end of step  3  :

  (100k + 1013)    2683
  ————————————— -  ————  ≤ 0 
       100         100 

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:

 (100k+1013) - (2683)     100k - 1670
 ————————————————————  =  ———————————
         100                  100    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   100k - 1670  =   10 • (10k - 167) 

Equation at the end of step  5  :

  10 • (10k - 167)
  ————————————————  ≤ 0 
        100       

Step  6  :

 6.1    Multiply both sides by  100 

 6.2    Divide both sides by  10 

 6.3    Divide both sides by  10  

      k-(167/10)  ≤ 0

Solve Basic Inequality :

 6.4      Add  167/10  to both sides

             k ≤ 167/10

Inequality Plot :

 6.5      Inequality plot for

         X  - 16.700  ≤  0

  
 

One solution was found :