Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0054" was replaced by "(0054/10000)". 3 more similar replacement(s)

Step  1  :

             27 
 Simplify   ————
            5000

Equation at the end of step  1  :

    2     6       27 
  (—— -  ———) -  ————
   10    100     5000

Step  2  :

             3
 Simplify   ——
            50

Equation at the end of step  2  :

    2     3      27 
  (—— -  ——) -  ————
   10    50     5000

Step  3  :

            1
 Simplify   —
            5

Equation at the end of step  3  :

   1     3      27 
  (— -  ——) -  ————
   5    50     5000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       50 

      Least Common Multiple:
      50 

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 = 10

   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.      10
   ——————————————————  =   ——
         L.C.M             50

   R. Mult. • R. Num.       3
   ——————————————————  =   ——
         L.C.M             50

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:

 10 - (3)      7
 ————————  =  ——
    50        50

Equation at the end of step  4  :

   7     27 
  —— -  ————
  50    5000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      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 = 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.      7 • 100
   ——————————————————  =   ———————
         L.C.M              5000  

   R. Mult. • R. Num.       27 
   ——————————————————  =   ————
         L.C.M             5000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 7 • 100 - (27)      673
 ——————————————  =  ————
      5000          5000

Final result :

   673           
  ———— = 0.13460 
  5000