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 :

                     h/9-(1/4)>0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

  h    1
  — -  —  > 0 
  9    4

Step  2  :

            h
 Simplify   —
            9

Equation at the end of step  2  :

  h    1
  — -  —  > 0 
  9    4

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       9 

      The right denominator is :       4 

      Least Common Multiple:
      36 

Calculating Multipliers :

 3.2    Calculate multipliers for the two fractions


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 4

   Right_M = L.C.M / R_Deno = 9

Making Equivalent Fractions :

 3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)²   and  (y²+y)/(y+1)³  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

   L. Mult. • L. Num.      h • 4
   ——————————————————  =   —————
         L.C.M              36  

   R. Mult. • R. Num.       9
   ——————————————————  =   ——
         L.C.M             36

Adding fractions that have a common denominator :

 3.4       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:

 h • 4 - (9)     4h - 9
 ———————————  =  ——————
     36            36  

Equation at the end of step  3  :

  4h - 9
  ——————  > 0 
    36  

Step  4  :

 4.1    Multiply both sides by  36 

 4.2    Divide both sides by  4  

      h-(9/4)  > 0

Solve Basic Inequality :

 4.3      Add  9/4  to both sides

             h > 9/4

Inequality Plot :

 4.4      Inequality plot for

         0.111 h  - 0.250  >  0

  
 

One solution was found :