No solutions found

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.09" was replaced by "(309/100)". 3 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 :

           (456/100)-(((262/100)+(309/100)))<0 

Step  1  :

            309
 Simplify   ———
            100

Equation at the end of step  1  :

  456     262    309
  ——— -  (——— +  ———)  < 0 
  100     100    100

Step  2  :

            131
 Simplify   ———
            50 

Equation at the end of step  2  :

  456     131    309
  ——— -  (——— +  ———)  < 0 
  100     50     100

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 2

   Right_M = L.C.M / R_Deno = 1

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.      131 • 2
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      309
   ——————————————————  =   ———
         L.C.M             100

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:

 131 • 2 + 309     571
 —————————————  =  ———
      100          100

Equation at the end of step  3  :

  456    571
  ——— -  ———  < 0 
  100    100

Step  4  :

            114
 Simplify   ———
            25 

Equation at the end of step  4  :

  114    571
  ——— -  ———  < 0 
  25     100

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       100 

      Least Common Multiple:
      100 

Calculating Multipliers :

 5.2    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 = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      114 • 4
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      571
   ——————————————————  =   ———
         L.C.M             100

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 114 • 4 - (571)     -23
 ———————————————  =  ———
       100           20 

Equation at the end of step  5  :

  -23
  ———  < 0 
  20 

Step  6  :

Inequality is always true