Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.34" was replaced by "(234/100)". 3 more similar replacement(s)

Step  1  :

            117
 Simplify   ———
            50 

Equation at the end of step  1  :

   569    32408     117
  (——— +  —————) +  ———
   10      100      50 

Step  2  :

            8102
 Simplify   ————
             25 

Equation at the end of step  2  :

   569    8102     117
  (——— +  ————) +  ———
   10      25      50 

Step  3  :

            569
 Simplify   ———
            10 

Equation at the end of step  3  :

   569    8102     117
  (——— +  ————) +  ———
   10      25      50 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       25 

      Least Common Multiple:
      50 

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.      569 • 5
   ——————————————————  =   ———————
         L.C.M               50   

   R. Mult. • R. Num.      8102 • 2
   ——————————————————  =   ————————
         L.C.M                50   

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:

 569 • 5 + 8102 • 2     19049
 ——————————————————  =  —————
         50              50  

Equation at the end of step  4  :

  19049    117
  ————— +  ———
   50      50 

Step  5  :

Adding fractions which have a common denominator :

 5.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 19049 + 117     9583
 ———————————  =  ————
     50           25 

Final result :

  9583             
  ———— = 383.32000 
   25