Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "15.24" was replaced by "(1524/100)". 3 more similar replacement(s)

Step  1  :

            381
 Simplify   ———
            25 

Equation at the end of step  1  :

   9144    254     381
  (———— +  ———) +  ———
   100     10      25 

Step  2  :

            127
 Simplify   ———
             5 

Equation at the end of step  2  :

   9144    127     381
  (———— +  ———) +  ———
   100      5      25 

Step  3  :

            2286
 Simplify   ————
             25 

Equation at the end of step  3  :

   2286    127     381
  (———— +  ———) +  ———
    25      5      25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       5 

      Least Common Multiple:
      25 

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 = 5

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.      2286
   ——————————————————  =   ————
         L.C.M              25 

   R. Mult. • R. Num.      127 • 5
   ——————————————————  =   ———————
         L.C.M               25   

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:

 2286 + 127 • 5     2921
 ——————————————  =  ————
       25            25 

Equation at the end of step  4  :

  2921    381
  ———— +  ———
   25     25 

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:

 2921 + 381     3302
 ——————————  =  ————
     25          25 

Final result :

  3302             
  ———— = 132.08000 
   25