Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "12.5" was replaced by "(125/10)". 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 :

                     d-(93/10)-((125/10))>0 

Step by step solution :

Step  1  :

            25
 Simplify   ——
            2 

Equation at the end of step  1  :

        93     25
  (d -  ——) -  ——  > 0 
        10     2 

Step  2  :

            93
 Simplify   ——
            10

Equation at the end of step  2  :

        93     25
  (d -  ——) -  ——  > 0 
        10     2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

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

          d     d • 10
     d =  —  =  ——————
          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 :

 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:

 d • 10 - (93)     10d - 93
 —————————————  =  ————————
      10              10   

Equation at the end of step  3  :

  (10d - 93)    25
  —————————— -  ——  > 0 
      10        2 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       2 

      Least Common Multiple:
      10 

Calculating Multipliers :

 4.2    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 = 1

   Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

 4.3      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.      (10d-93)
   ——————————————————  =   ————————
         L.C.M                10   

   R. Mult. • R. Num.      25 • 5
   ——————————————————  =   ——————
         L.C.M               10  

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 (10d-93) - (25 • 5)     10d - 218
 ———————————————————  =  —————————
         10                 10    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   10d - 218  =   2 • (5d - 109) 

Equation at the end of step  5  :

  2 • (5d - 109)
  ——————————————  > 0 
        10      

Step  6  :

 6.1    Multiply both sides by  10 

 6.2    Divide both sides by  2 

 6.3    Divide both sides by  5  

      d-(109/5)  > 0

Solve Basic Inequality :

 6.4      Add  109/5  to both sides

             d > 109/5

Inequality Plot :

 6.5      Inequality plot for

         X  - 21.800  >  0

  
 

One solution was found :