Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.804" was replaced by "(1804/1000)". 2 more similar replacement(s)

Step  1  :

            451
 Simplify   ———
            250

Equation at the end of step  1  :

           618     451
  (240 +  ————) +  ———
          1000     250

Step  2  :

            309
 Simplify   ———
            500

Equation at the end of step  2  :

          309     451
  (240 +  ———) +  ———
          500     250

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  500  as the denominator :

            240     240 • 500
     240 =  ———  =  —————————
             1         500   

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:

 240 • 500 + 309     120309
 ———————————————  =  ——————
       500            500  

Equation at the end of step  3  :

  120309    451
  —————— +  ———
   500      250

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       250 

      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 = 1

   Right_M = L.C.M / R_Deno = 2

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.      120309
   ——————————————————  =   ——————
         L.C.M              500  

   R. Mult. • R. Num.      451 • 2
   ——————————————————  =   ———————
         L.C.M               500  

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 120309 + 451 • 2     121211
 ————————————————  =  ——————
       500             500  

Final result :

  121211             
  —————— = 242.42200 
   500