Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "141.05" was replaced by "(14105/100)". 3 more similar replacement(s)

Step  1  :

            2821
 Simplify   ————
             20 

Equation at the end of step  1  :

   12734    442     2821
  (————— +  ———) +  ————
   1000     10       20 

Step  2  :

            221
 Simplify   ———
             5 

Equation at the end of step  2  :

   12734    221     2821
  (————— +  ———) +  ————
   1000      5       20 

Step  3  :

            6367
 Simplify   ————
            500 

Equation at the end of step  3  :

   6367    221     2821
  (———— +  ———) +  ————
   500      5       20 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       5 

      Least Common Multiple:
      500 

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 = 100

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.      6367
   ——————————————————  =   ————
         L.C.M             500 

   R. Mult. • R. Num.      221 • 100
   ——————————————————  =   —————————
         L.C.M                500   

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:

 6367 + 221 • 100     28467
 ————————————————  =  —————
       500             500 

Equation at the end of step  4  :

  28467    2821
  ————— +  ————
   500      20 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       20 

      Least Common Multiple:
      500 

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 = 1

   Right_M = L.C.M / R_Deno = 25

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      28467
   ——————————————————  =   —————
         L.C.M              500 

   R. Mult. • R. Num.      2821 • 25
   ——————————————————  =   —————————
         L.C.M                500   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 28467 + 2821 • 25     24748
 —————————————————  =  —————
        500             125 

Final result :

  24748             
  ————— = 197.98400 
   125