Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "140.52" was replaced by "(14052/100)". 3 more similar replacement(s)

Step  1  :

            3513
 Simplify   ————
             25 

Equation at the end of step  1  :

   13606    455     3513
  (————— +  ———) +  ————
   1000     10       25 

Step  2  :

            91
 Simplify   ——
            2 

Equation at the end of step  2  :

   13606    91     3513
  (————— +  ——) +  ————
   1000     2       25 

Step  3  :

            6803
 Simplify   ————
            500 

Equation at the end of step  3  :

   6803    91     3513
  (———— +  ——) +  ————
   500     2       25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       2 

      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 = 250

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.      6803
   ——————————————————  =   ————
         L.C.M             500 

   R. Mult. • R. Num.      91 • 250
   ——————————————————  =   ————————
         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:

 6803 + 91 • 250     29553
 ———————————————  =  —————
       500            500 

Equation at the end of step  4  :

  29553    3513
  ————— +  ————
   500      25 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       25 

      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 = 20

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      29553
   ——————————————————  =   —————
         L.C.M              500 

   R. Mult. • R. Num.      3513 • 20
   ——————————————————  =   —————————
         L.C.M                500   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 29553 + 3513 • 20     99813
 —————————————————  =  —————
        500             500 

Final result :

  99813             
  ————— = 199.62600 
   500