Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "17.67" was replaced by "(1767/100)". 3 more similar replacement(s)

Step  1  :

            1767
 Simplify   ————
            100 

Equation at the end of step  1  :

   4318    3915     1767
  (———— +  ————) +  ————
   100     100      100 

Step  2  :

            783
 Simplify   ———
            20 

Equation at the end of step  2  :

   4318    783     1767
  (———— +  ———) +  ————
   100     20      100 

Step  3  :

            2159
 Simplify   ————
             50 

Equation at the end of step  3  :

   2159    783     1767
  (———— +  ———) +  ————
    50     20      100 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       20 

      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 = 2

   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.      2159 • 2
   ——————————————————  =   ————————
         L.C.M               100   

   R. Mult. • R. Num.      783 • 5
   ——————————————————  =   ———————
         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:

 2159 • 2 + 783 • 5     8233
 ——————————————————  =  ————
        100             100 

Equation at the end of step  4  :

  8233    1767
  ———— +  ————
  100     100 

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:

 8233 + 1767     100
 ———————————  =  ———
     100          1 

Final result :

  100