Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "67.1" was replaced by "(671/10)". 3 more similar replacement(s)

Step  1  :

            671
 Simplify   ———
            10 

Equation at the end of step  1  :

   4591     2309     671
  (———— +  —————) +  ———
   1000    10000     10 

Step  2  :

             2309
 Simplify   —————
            10000

Equation at the end of step  2  :

   4591     2309     671
  (———— +  —————) +  ———
   1000    10000     10 

Step  3  :

            4591
 Simplify   ————
            1000

Equation at the end of step  3  :

   4591     2309     671
  (———— +  —————) +  ———
   1000    10000     10 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       1000 

      The right denominator is :       10000 

      Least Common Multiple:
      10000 

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.      4591 • 10
   ——————————————————  =   —————————
         L.C.M               10000  

   R. Mult. • R. Num.       2309
   ——————————————————  =   —————
         L.C.M             10000

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:

 4591 • 10 + 2309     48219
 ————————————————  =  —————
      10000           10000

Equation at the end of step  4  :

  48219    671
  ————— +  ———
  10000    10 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       10000 

      The right denominator is :       10 

      Least Common Multiple:
      10000 

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 = 1000

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      48219
   ——————————————————  =   —————
         L.C.M             10000

   R. Mult. • R. Num.      671 • 1000
   ——————————————————  =   ——————————
         L.C.M               10000   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 48219 + 671 • 1000     719219
 ——————————————————  =  ——————
       10000            10000 

Final result :

  719219            
  —————— = 71.92190 
  10000