Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.8511" was replaced by "(8511/10000)". 3 more similar replacement(s)

Step  1  :

             8511
 Simplify   —————
            10000

Equation at the end of step  1  :

   306    514      8511
  (——— +  ———) +  —————
   100    10      10000

Step  2  :

            257
 Simplify   ———
             5 

Equation at the end of step  2  :

   306    257      8511
  (——— +  ———) +  —————
   100     5      10000

Step  3  :

            153
 Simplify   ———
            50 

Equation at the end of step  3  :

   153    257      8511
  (——— +  ———) +  —————
   50      5      10000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       5 

      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 = 1

   Right_M = L.C.M / R_Deno = 10

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.      153
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      257 • 10
   ——————————————————  =   ————————
         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:

 153 + 257 • 10     2723
 ——————————————  =  ————
       50            50 

Equation at the end of step  4  :

  2723     8511
  ———— +  —————
   50     10000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       10000 

      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 = 200

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      2723 • 200
   ——————————————————  =   ——————————
         L.C.M               10000   

   R. Mult. • R. Num.       8511
   ——————————————————  =   —————
         L.C.M             10000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 2723 • 200 + 8511     553111
 —————————————————  =  ——————
       10000           10000 

Final result :

  553111            
  —————— = 55.31110 
  10000