Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "285.42" was replaced by "(28542/100)". 2 more similar replacement(s)

Step  1  :

            14271
 Simplify   —————
             50  

Equation at the end of step  1  :

          807     14271
  (12 +  ————) +  —————
         1000      50  

Step  2  :

             807
 Simplify   ————
            1000

Equation at the end of step  2  :

          807     14271
  (12 +  ————) +  —————
         1000      50  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  1000  as the denominator :

           12     12 • 1000
     12 =  ——  =  —————————
           1        1000   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       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:

 12 • 1000 + 807     12807
 ———————————————  =  —————
      1000           1000 

Equation at the end of step  3  :

  12807    14271
  ————— +  —————
  1000      50  

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       1000 

      The right denominator is :       50 

      Least Common Multiple:
      1000 

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 = 20

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.      12807
   ——————————————————  =   —————
         L.C.M             1000 

   R. Mult. • R. Num.      14271 • 20
   ——————————————————  =   ——————————
         L.C.M                1000   

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 12807 + 14271 • 20     298227
 ——————————————————  =  ——————
        1000             1000 

Final result :

  298227             
  —————— = 298.22700 
   1000