Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "72.545" was replaced by "(72545/1000)". 3 more similar replacement(s)

Step  1  :

            14509
 Simplify   —————
             200 

Equation at the end of step  1  :

   72545    43899     14509
  (————— +  —————) +  —————
   1000     1000       200 

Step  2  :

            43899
 Simplify   —————
            1000 

Equation at the end of step  2  :

   72545    43899     14509
  (————— +  —————) +  —————
   1000     1000       200 

Step  3  :

            14509
 Simplify   —————
             200 

Equation at the end of step  3  :

   14509    43899     14509
  (————— +  —————) +  —————
    200     1000       200 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       200 

      The right denominator is :       1000 

      Least Common Multiple:
      1000 

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 = 5

   Right_M = L.C.M / R_Deno = 1

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.      14509 • 5
   ——————————————————  =   —————————
         L.C.M               1000   

   R. Mult. • R. Num.      43899
   ——————————————————  =   —————
         L.C.M             1000 

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:

 14509 • 5 + 43899     29111
 —————————————————  =  —————
       1000             250 

Equation at the end of step  4  :

  29111    14509
  ————— +  —————
   250      200 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       250 

      The right denominator is :       200 

      Least Common Multiple:
      1000 

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 = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      29111 • 4
   ——————————————————  =   —————————
         L.C.M               1000   

   R. Mult. • R. Num.      14509 • 5
   ——————————————————  =   —————————
         L.C.M               1000   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 29111 • 4 + 14509 • 5     188989
 —————————————————————  =  ——————
         1000               1000 

Final result :

  188989             
  —————— = 188.98900 
   1000