Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "27.462" was replaced by "(27462/1000)". 3 more similar replacement(s)

Step  1  :

            13731
 Simplify   —————
             500 

Equation at the end of step  1  :

   136575    967     13731
  (—————— +  ———) +  —————
   10000     100      500 

Step  2  :

            967
 Simplify   ———
            100

Equation at the end of step  2  :

   136575    967     13731
  (—————— +  ———) +  —————
   10000     100      500 

Step  3  :

            5463
 Simplify   ————
            400 

Equation at the end of step  3  :

   5463    967     13731
  (———— +  ———) +  —————
   400     100      500 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       400 

      The right denominator is :       100 

      Least Common Multiple:
      400 

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 = 4

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.      5463
   ——————————————————  =   ————
         L.C.M             400 

   R. Mult. • R. Num.      967 • 4
   ——————————————————  =   ———————
         L.C.M               400  

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:

 5463 + 967 • 4     9331
 ——————————————  =  ————
      400           400 

Equation at the end of step  4  :

  9331    13731
  ———— +  —————
  400      500 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       400 

      The right denominator is :       500 

      Least Common Multiple:
      2000 

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 = 5

   Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      9331 • 5
   ——————————————————  =   ————————
         L.C.M               2000  

   R. Mult. • R. Num.      13731 • 4
   ——————————————————  =   —————————
         L.C.M               2000   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 9331 • 5 + 13731 • 4     101579
 ————————————————————  =  ——————
         2000              2000 

Final result :

  101579            
  —————— = 50.78950 
   2000