Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.316" was replaced by "(5316/1000)". 3 more similar replacement(s)

Step  1  :

            1329
 Simplify   ————
            250 

Equation at the end of step  1  :

   1234     58     1329
  (———— +  ———) +  ————
   1000    100     250 

Step  2  :

            29
 Simplify   ——
            50

Equation at the end of step  2  :

   1234    29     1329
  (———— +  ——) +  ————
   1000    50     250 

Step  3  :

            617
 Simplify   ———
            500

Equation at the end of step  3  :

   617    29     1329
  (——— +  ——) +  ————
   500    50     250 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       50 

      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 = 10

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.      617
   ——————————————————  =   ———
         L.C.M             500

   R. Mult. • R. Num.      29 • 10
   ——————————————————  =   ———————
         L.C.M               500  

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:

 617 + 29 • 10     907
 —————————————  =  ———
      500          500

Equation at the end of step  4  :

  907    1329
  ——— +  ————
  500    250 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       250 

      Least Common Multiple:
      500 

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 = 2

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      907
   ——————————————————  =   ———
         L.C.M             500

   R. Mult. • R. Num.      1329 • 2
   ——————————————————  =   ————————
         L.C.M               500   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 907 + 1329 • 2     713
 ——————————————  =  ———
      500           100

Final result :

  713           
  ——— = 7.13000 
  100