Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.03" was replaced by "(403/100)". 3 more similar replacement(s)

Step  1  :

            403
 Simplify   ———
            100

Equation at the end of step  1  :

   3174     2      403
  (———— +  ———) +  ———
    10     100     100

Step  2  :

             1
 Simplify   ——
            50

Equation at the end of step  2  :

   3174     1     403
  (———— +  ——) +  ———
    10     50     100

Step  3  :

            1587
 Simplify   ————
             5  

Equation at the end of step  3  :

   1587     1     403
  (———— +  ——) +  ———
    5      50     100

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.      1587 • 10
   ——————————————————  =   —————————
         L.C.M                50    

   R. Mult. • R. Num.       1
   ——————————————————  =   ——
         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:

 1587 • 10 + 1     15871
 —————————————  =  —————
      50            50  

Equation at the end of step  4  :

  15871    403
  ————— +  ———
   50      100

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      15871 • 2
   ——————————————————  =   —————————
         L.C.M                100   

   R. Mult. • R. Num.      403
   ——————————————————  =   ———
         L.C.M             100

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 15871 • 2 + 403     6429
 ———————————————  =  ————
       100            20 

Final result :

  6429             
  ———— = 321.45000 
   20