Solution - Adding, subtracting and finding the least common multiple

Rearrange:

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

                     p-22/3-(31/3)<0 

Step by step solution :

Step  1  :

            31
 Simplify   ——
            3 

Equation at the end of step  1  :

        22     31
  (p -  ——) -  ——  < 0 
        3      3 

Step  2  :

            22
 Simplify   ——
            3 

Equation at the end of step  2  :

        22     31
  (p -  ——) -  ——  < 0 
        3      3 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

          p     p • 3
     p =  —  =  —————
          1       3  

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:

 p • 3 - (22)     3p - 22
 ————————————  =  ———————
      3              3   

Equation at the end of step  3  :

  (3p - 22)    31
  ————————— -  ——  < 0 
      3        3 

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:

 (3p-22) - (31)     3p - 53
 ——————————————  =  ———————
       3               3   

Equation at the end of step  4  :

  3p - 53
  ———————  < 0 
     3   

Step  5  :

 5.1    Multiply both sides by  3 

 5.2    Divide both sides by  3  

      p-(53/3)  < 0

Solve Basic Inequality :

 5.3      Add  53/3  to both sides

             p < 53/3

Inequality Plot :

 5.4      Inequality plot for

         p  - 17.667  <  0

  
 

One solution was found :