Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.094" was replaced by "(094/1000)". 3 more similar replacement(s)

Step  1  :

             47
 Simplify   ———
            500

Equation at the end of step  1  :

    628       681        47
  (————— +  ———————) +  ———
   10000    1000000     500

Step  2  :

              681  
 Simplify   ———————
            1000000

Equation at the end of step  2  :

    628       681        47
  (————— +  ———————) +  ———
   10000    1000000     500

Step  3  :

             157
 Simplify   ————
            2500

Equation at the end of step  3  :

    157      681        47
  (———— +  ———————) +  ———
   2500    1000000     500

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       2500 

      The right denominator is :       1000000 

      Least Common Multiple:
      1000000 

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 = 400

   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.      157 • 400
   ——————————————————  =   —————————
         L.C.M              1000000 

   R. Mult. • R. Num.        681  
   ——————————————————  =   ———————
         L.C.M             1000000

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:

 157 • 400 + 681      63481 
 ———————————————  =  ———————
     1000000         1000000

Equation at the end of step  4  :

   63481      47
  ——————— +  ———
  1000000    500

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       1000000 

      The right denominator is :       500 

      Least Common Multiple:
      1000000 

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 = 2000

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.       63481 
   ——————————————————  =   ———————
         L.C.M             1000000

   R. Mult. • R. Num.      47 • 2000
   ——————————————————  =   —————————
         L.C.M              1000000 

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 63481 + 47 • 2000      157481
 —————————————————  =  ———————
      1000000          1000000

Final result :

   157481           
  ——————— = 0.15748 
  1000000