Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.004" was replaced by "(004/1000)". 3 more similar replacement(s)

Step  1  :

             1 
 Simplify   ———
            250

Equation at the end of step  1  :

    5     1      1 
  (—— -  ——) -  ———
   10    10     250

Step  2  :

             1
 Simplify   ——
            10

Equation at the end of step  2  :

    5     1      1 
  (—— -  ——) -  ———
   10    10     250

Step  3  :

            1
 Simplify   —
            2

Equation at the end of step  3  :

   1     1      1 
  (— -  ——) -  ———
   2    10     250

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       10 

      Least Common Multiple:
      10 

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.       5
   ——————————————————  =   ——
         L.C.M             10

   R. Mult. • R. Num.       1
   ——————————————————  =   ——
         L.C.M             10

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:

 5 - (1)     2
 ———————  =  —
   10        5

Equation at the end of step  4  :

  2     1 
  — -  ———
  5    250

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       250 

      Least Common Multiple:
      250 

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 = 50

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      2 • 50
   ——————————————————  =   ——————
         L.C.M              250  

   R. Mult. • R. Num.       1 
   ——————————————————  =   ———
         L.C.M             250

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 2 • 50 - (1)      99
 ————————————  =  ———
     250          250

Final result :

   99           
  ——— = 0.39600 
  250