Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.6" was replaced by "(36/10)". 2 more similar replacement(s)

Step  1  :

            18
 Simplify   ——
            5 

Equation at the end of step  1  :

     4           18
  (———— +  2) +  ——
   1000          5 

Step  2  :

             1 
 Simplify   ———
            250

Equation at the end of step  2  :

    1           18
  (——— +  2) +  ——
   250          5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  250  as the denominator :

         2     2 • 250
    2 =  —  =  ———————
         1       250  

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:

 1 + 2 • 250     501
 ———————————  =  ———
     250         250

Equation at the end of step  3  :

  501    18
  ——— +  ——
  250    5 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       250 

      The right denominator is :       5 

      Least Common Multiple:
      250 

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 = 50

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.      501
   ——————————————————  =   ———
         L.C.M             250

   R. Mult. • R. Num.      18 • 50
   ——————————————————  =   ———————
         L.C.M               250  

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 501 + 18 • 50     1401
 —————————————  =  ————
      250          250 

Final result :

  1401           
  ———— = 5.60400 
  250