Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "542.137" was replaced by "(542137/1000)". 2 more similar replacement(s)

Step  1  :

            542137
 Simplify   ——————
             1000 

Equation at the end of step  1  :

   732178            542137
  (—————— +  167) -  ——————
    1000              1000 

Step  2  :

            366089
 Simplify   ——————
             500  

Equation at the end of step  2  :

   366089            542137
  (—————— +  167) -  ——————
    500               1000 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  500  as the denominator :

           167     167 • 500
    167 =  ———  =  —————————
            1         500   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       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:

 366089 + 167 • 500     449589
 ——————————————————  =  ——————
        500              500  

Equation at the end of step  3  :

  449589    542137
  —————— -  ——————
   500       1000 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       500 

      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 = 2

   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.      449589 • 2
   ——————————————————  =   ——————————
         L.C.M                1000   

   R. Mult. • R. Num.      542137
   ——————————————————  =   ——————
         L.C.M              1000 

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 449589 • 2 - (542137)     357041
 —————————————————————  =  ——————
         1000               1000 

Final result :

  357041             
  —————— = 357.04100 
   1000