Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "86.257" was replaced by "(86257/1000)". 2 more similar replacement(s)

Step  1  :

            86257
 Simplify   —————
            1000 

Equation at the end of step  1  :

   12325           86257
  (————— +  46) +  —————
    100            1000 

Step  2  :

            493
 Simplify   ———
             4 

Equation at the end of step  2  :

   493           86257
  (——— +  46) +  —————
    4            1000 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          46     46 • 4
    46 =  ——  =  ——————
          1        4   

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:

 493 + 46 • 4     677
 ————————————  =  ———
      4            4 

Equation at the end of step  3  :

  677    86257
  ——— +  —————
   4     1000 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       1000 

      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 = 250

   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.      677 • 250
   ——————————————————  =   —————————
         L.C.M               1000   

   R. Mult. • R. Num.      86257
   ——————————————————  =   —————
         L.C.M             1000 

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 677 • 250 + 86257     255507
 —————————————————  =  ——————
       1000             1000 

Final result :

  255507             
  —————— = 255.50700 
   1000