Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "112.3" was replaced by "(1123/10)". 3 more similar replacement(s)

Step  1  :

            1123
 Simplify   ————
             10 

Equation at the end of step  1  :

   462    112346     1123
  (——— +  ——————) +  ————
   10      1000       10 

Step  2  :

            56173
 Simplify   —————
             500 

Equation at the end of step  2  :

   462    56173     1123
  (——— +  —————) +  ————
   10      500       10 

Step  3  :

            231
 Simplify   ———
             5 

Equation at the end of step  3  :

   231    56173     1123
  (——— +  —————) +  ————
    5      500       10 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       500 

      Least Common Multiple:
      500 

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 = 100

   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.      231 • 100
   ——————————————————  =   —————————
         L.C.M                500   

   R. Mult. • R. Num.      56173
   ——————————————————  =   —————
         L.C.M              500 

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:

 231 • 100 + 56173     79273
 —————————————————  =  —————
        500             500 

Equation at the end of step  4  :

  79273    1123
  ————— +  ————
   500      10 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       10 

      Least Common Multiple:
      500 

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 = 50

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      79273
   ——————————————————  =   —————
         L.C.M              500 

   R. Mult. • R. Num.      1123 • 50
   ——————————————————  =   —————————
         L.C.M                500   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 79273 + 1123 • 50     135423
 —————————————————  =  ——————
        500             500  

Final result :

  135423             
  —————— = 270.84600 
   500