Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "13.75" was replaced by "(1375/100)". 3 more similar replacement(s)

Step  1  :

            55
 Simplify   ——
            4 

Equation at the end of step  1  :

   3999    1025     55
  (———— +  ————) +  ——
   100     100      4 

Step  2  :

            41
 Simplify   ——
            4 

Equation at the end of step  2  :

   3999    41     55
  (———— +  ——) +  ——
   100     4      4 

Step  3  :

            3999
 Simplify   ————
            100 

Equation at the end of step  3  :

   3999    41     55
  (———— +  ——) +  ——
   100     4      4 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       4 

      Least Common Multiple:
      100 

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 = 25

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.      3999
   ——————————————————  =   ————
         L.C.M             100 

   R. Mult. • R. Num.      41 • 25
   ——————————————————  =   ———————
         L.C.M               100  

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:

 3999 + 41 • 25     1256
 ——————————————  =  ————
      100            25 

Equation at the end of step  4  :

  1256    55
  ———— +  ——
   25     4 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       4 

      Least Common Multiple:
      100 

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 = 4

   Right_M = L.C.M / R_Deno = 25

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      1256 • 4
   ——————————————————  =   ————————
         L.C.M               100   

   R. Mult. • R. Num.      55 • 25
   ——————————————————  =   ———————
         L.C.M               100  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 1256 • 4 + 55 • 25     6399
 ——————————————————  =  ————
        100             100 

Final result :

  6399            
  ———— = 63.99000 
  100