Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0004" was replaced by "(0004/10000)". 3 more similar replacement(s)

Step  1  :

              1 
 Simplify   ————
            2500

Equation at the end of step  1  :

    4     4        1 
  (—— -  ———) -  ————
   10    100     2500

Step  2  :

             1
 Simplify   ——
            25

Equation at the end of step  2  :

    4     1       1 
  (—— -  ——) -  ————
   10    25     2500

Step  3  :

            2
 Simplify   —
            5

Equation at the end of step  3  :

   2     1       1 
  (— -  ——) -  ————
   5    25     2500

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       25 

      Least Common Multiple:
      25 

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 = 5

   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 • 5
   ——————————————————  =   —————
         L.C.M              25  

   R. Mult. • R. Num.       1
   ——————————————————  =   ——
         L.C.M             25

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 • 5 - (1)      9
 ———————————  =  ——
     25          25

Equation at the end of step  4  :

   9      1 
  —— -  ————
  25    2500

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       2500 

      Least Common Multiple:
      2500 

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 = 100

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      9 • 100
   ——————————————————  =   ———————
         L.C.M              2500  

   R. Mult. • R. Num.        1 
   ——————————————————  =   ————
         L.C.M             2500

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 9 • 100 - (1)      899
 —————————————  =  ————
     2500          2500

Final result :

   899           
  ———— = 0.35960 
  2500