Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.945" was replaced by "(1945/1000)". 3 more similar replacement(s)

Step  1  :

            389
 Simplify   ———
            200

Equation at the end of step  1  :

   7315    5422     389
  (———— +  ————) +  ———
   1000    1000     200

Step  2  :

            2711
 Simplify   ————
            500 

Equation at the end of step  2  :

   7315    2711     389
  (———— +  ————) +  ———
   1000    500      200

Step  3  :

            1463
 Simplify   ————
            200 

Equation at the end of step  3  :

   1463    2711     389
  (———— +  ————) +  ———
   200     500      200

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       200 

      The right denominator is :       500 

      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 = 5

   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.      1463 • 5
   ——————————————————  =   ————————
         L.C.M               1000  

   R. Mult. • R. Num.      2711 • 2
   ——————————————————  =   ————————
         L.C.M               1000  

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:

 1463 • 5 + 2711 • 2     12737
 ———————————————————  =  —————
        1000             1000 

Equation at the end of step  4  :

  12737    389
  ————— +  ———
  1000     200

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       1000 

      The right denominator is :       200 

      Least Common Multiple:
      1000 

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 = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      12737
   ——————————————————  =   —————
         L.C.M             1000 

   R. Mult. • R. Num.      389 • 5
   ——————————————————  =   ———————
         L.C.M              1000  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 12737 + 389 • 5     7341
 ———————————————  =  ————
      1000           500 

Final result :

  7341            
  ———— = 14.68200 
  500