Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.01" was replaced by "(501/100)". 4 more similar replacement(s)

Step  1  :

            501
 Simplify   ———
            100

Equation at the end of step  1  :

   678 5903   5489 501
  (———•————)•(————-———)
   100 1000   1000 100

Step  2  :

            5489
 Simplify   ————
            1000

Equation at the end of step  2  :

   678   5903     5489    501
  (——— • ————) • (———— -  ———)
   100   1000     1000    100

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       1000 

      The right denominator is :       100 

      Least Common Multiple:
      1000 

Calculating Multipliers :

 3.2    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 = 10

Making Equivalent Fractions :

 3.3      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.      5489
   ——————————————————  =   ————
         L.C.M             1000

   R. Mult. • R. Num.      501 • 10
   ——————————————————  =   ————————
         L.C.M               1000  

Adding fractions that have a common denominator :

 3.4       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:

 5489 - (501 • 10)      479
 —————————————————  =  ————
       1000            1000

Equation at the end of step  3  :

   678   5903     479
  (——— • ————) • ————
   100   1000    1000

Step  4  :

            5903
 Simplify   ————
            1000

Equation at the end of step  4  :

   678   5903     479
  (——— • ————) • ————
   100   1000    1000

Step  5  :

            339
 Simplify   ———
            50 

Equation at the end of step  5  :

   339   5903     479
  (——— • ————) • ————
   50    1000    1000

Step  6  :

Final result :

  958535043            
  ————————— = 19.17070 
  50000000