Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "401.65" was replaced by "(40165/100)".

Step  1  :

            8033
 Simplify   ————
             20 

Equation at the end of step  1  :

        50     8033
  (0 -  ——) -  ————
        54      20 

Step  2  :

                  8033
 Divide  100  by  ————
                   20 

Equation at the end of step  2  :

        50     2000
  (0 -  ——) -  ————
        54     8033

Step  3  :

            25
 Simplify   ——
            27

Equation at the end of step  3  :

        25     2000
  (0 -  ——) -  ————
        27     8033

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       27 

      The right denominator is :       8033 

      Least Common Multiple:
      216891 

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 = 8033

   Right_M = L.C.M / R_Deno = 27

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.      -25 • 8033
   ——————————————————  =   ——————————
         L.C.M               216891  

   R. Mult. • R. Num.      2000 • 27
   ——————————————————  =   —————————
         L.C.M              216891  

Adding fractions that have a common denominator :

 4.4       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:

 -25 • 8033 - (2000 • 27)     -254825
 ————————————————————————  =  ———————
          216891              216891 

Final result :

  -254825            
  ——————— = -1.17490 
  216891