Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0006" was replaced by "(0006/10000)". 3 more similar replacement(s)

Step  1  :

              3 
 Simplify   ————
            5000

Equation at the end of step  1  :

     4       2        3 
  (———— +  ————) +  ————
   1000    1000     5000

Step  2  :

             1 
 Simplify   ———
            500

Equation at the end of step  2  :

     4      1        3 
  (———— +  ———) +  ————
   1000    500     5000

Step  3  :

             1 
 Simplify   ———
            250

Equation at the end of step  3  :

    1      1        3 
  (——— +  ———) +  ————
   250    500     5000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       250 

      The right denominator is :       500 

      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 = 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.       2 
   ——————————————————  =   ———
         L.C.M             500

   R. Mult. • R. Num.       1 
   ——————————————————  =   ———
         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:

 2 + 1      3 
 —————  =  ———
  500      500

Equation at the end of step  4  :

   3       3 
  ——— +  ————
  500    5000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       5000 

      Least Common Multiple:
      5000 

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 = 10

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      3 • 10
   ——————————————————  =   ——————
         L.C.M              5000 

   R. Mult. • R. Num.        3 
   ——————————————————  =   ————
         L.C.M             5000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 3 • 10 + 3      33 
 ——————————  =  ————
    5000        5000

Final result :

   33            
  ———— = 0.00660 
  5000