Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 3 more similar replacement(s)

Step  1  :

            7
 Simplify   —
            2

Equation at the end of step  1  :

   2565    9005     7
  (———— +  ————) +  —
   100     1000     2

Step  2  :

            1801
 Simplify   ————
            200 

Equation at the end of step  2  :

   2565    1801     7
  (———— +  ————) +  —
   100     200      2

Step  3  :

            513
 Simplify   ———
            20 

Equation at the end of step  3  :

   513    1801     7
  (——— +  ————) +  —
   20     200      2

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       20 

      The right denominator is :       200 

      Least Common Multiple:
      200 

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 = 10

   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.      513 • 10
   ——————————————————  =   ————————
         L.C.M               200   

   R. Mult. • R. Num.      1801
   ——————————————————  =   ————
         L.C.M             200 

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:

 513 • 10 + 1801     6931
 ———————————————  =  ————
       200           200 

Equation at the end of step  4  :

  6931    7
  ———— +  —
  200     2

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       200 

      The right denominator is :       2 

      Least Common Multiple:
      200 

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 = 100

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      6931
   ——————————————————  =   ————
         L.C.M             200 

   R. Mult. • R. Num.      7 • 100
   ——————————————————  =   ———————
         L.C.M               200  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 6931 + 7 • 100     7631
 ——————————————  =  ————
      200           200 

Final result :

  7631            
  ———— = 38.15500 
  200