Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.3" was replaced by "(53/10)". 2 more similar replacement(s)

Rearrange:

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

                     (127/10)-(s-(53/10))≥0 

Step by step solution :

Step  1  :

            53
 Simplify   ——
            10

Equation at the end of step  1  :

  127          53
  ——— -  (s -  ——)  ≥ 0 
  10           10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

          s     s • 10
     s =  —  =  ——————
          1       10  

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:

 s • 10 - (53)     10s - 53
 —————————————  =  ————————
      10              10   

Equation at the end of step  2  :

  127    (10s - 53)
  ——— -  ——————————  ≥ 0 
  10         10    

Step  3  :

            127
 Simplify   ———
            10 

Equation at the end of step  3  :

  127    (10s - 53)
  ——— -  ——————————  ≥ 0 
  10         10    

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:

 127 - ((10s-53))     180 - 10s
 ————————————————  =  —————————
        10               10    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   180 - 10s  =   -10 • (s - 18) 

Equation at the end of step  5  :

  18 - s  ≥ 0 

Step  6  :

 6.1    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

      s-18  ≤ 0

Solve Basic Inequality :

 6.2      Add  18  to both sides

             s ≤ 18

Inequality Plot :

 6.3      Inequality plot for

         -s  + 18.000  ≥  0

  
 

One solution was found :