Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "34.56" was replaced by "(3456/100)". 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 :

                16/8*c+(2056/100)-((3456/100))<0 

Step by step solution :

Step  1  :

            864
 Simplify   ———
            25 

Equation at the end of step  1  :

    16         2056     864
  ((—— • c) +  ————) -  ———  < 0 
    8          100      25 

Step  2  :

            514
 Simplify   ———
            25 

Equation at the end of step  2  :

    16         514     864
  ((—— • c) +  ———) -  ———  < 0 
    8          25      25 

Step  3  :

            2
 Simplify   —
            1

Equation at the end of step  3  :

              514     864
  ((2 • c) +  ———) -  ———  < 0 
              25      25 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

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

           2c     2c • 25
     2c =  ——  =  ———————
           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 :

 4.2       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:

 2c • 25 + 514     50c + 514
 —————————————  =  —————————
      25              25    

Equation at the end of step  4  :

  (50c + 514)    864
  ——————————— -  ———  < 0 
      25         25 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   50c + 514  =   2 • (25c + 257) 

Adding fractions which have a common denominator :

 6.2       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:

 2 • (25c+257) - (864)     50c - 350
 —————————————————————  =  —————————
          25                  25    

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   50c - 350  =   50 • (c - 7) 

Equation at the end of step  7  :

  50 • (c - 7)
  ————————————  < 0 
       25     

Step  8  :

 8.1    Multiply both sides by  25 

 8.2    Divide both sides by  50 

Solve Basic Inequality :

 8.3      Add  7  to both sides

             c < 7

Inequality Plot :

 8.4      Inequality plot for

         2.000 X  - 14.000  <  0

  
 

One solution was found :