Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.33" was replaced by "(433/100)". 3 more similar replacement(s)

Step  1  :

            433
 Simplify   ———
            100

Equation at the end of step  1  :

   56792     6     433
  (————— +  ——) +  ———
   10000    10     100

Step  2  :

            3
 Simplify   —
            5

Equation at the end of step  2  :

   56792    3     433
  (————— +  —) +  ———
   10000    5     100

Step  3  :

            7099
 Simplify   ————
            1250

Equation at the end of step  3  :

   7099    3     433
  (———— +  —) +  ———
   1250    5     100

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       1250 

      The right denominator is :       5 

      Least Common Multiple:
      1250 

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 = 250

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.      7099
   ——————————————————  =   ————
         L.C.M             1250

   R. Mult. • R. Num.      3 • 250
   ——————————————————  =   ———————
         L.C.M              1250  

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:

 7099 + 3 • 250     7849
 ——————————————  =  ————
      1250          1250

Equation at the end of step  4  :

  7849    433
  ———— +  ———
  1250    100

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       1250 

      The right denominator is :       100 

      Least Common Multiple:
      2500 

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 = 2

   Right_M = L.C.M / R_Deno = 25

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      7849 • 2
   ——————————————————  =   ————————
         L.C.M               2500  

   R. Mult. • R. Num.      433 • 25
   ——————————————————  =   ————————
         L.C.M               2500  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 7849 • 2 + 433 • 25     26523
 ———————————————————  =  —————
        2500             2500 

Final result :

  26523            
  ————— = 10.60920 
  2500