Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.89" was replaced by "(189/100)". 4 more similar replacement(s)

Step  1  :

            189
 Simplify   ———
            100

Equation at the end of step  1  :

    549 549  799  189
  ((———+———)+———)+———
    100 100  100  100

Step  2  :

            799
 Simplify   ———
            100

Equation at the end of step  2  :

    549    549     799     189
  ((——— +  ———) +  ———) +  ———
    100    100     100     100

Step  3  :

            549
 Simplify   ———
            100

Equation at the end of step  3  :

    549    549     799     189
  ((——— +  ———) +  ———) +  ———
    100    100     100     100

Step  4  :

            549
 Simplify   ———
            100

Equation at the end of step  4  :

    549    549     799     189
  ((——— +  ———) +  ———) +  ———
    100    100     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:

 549 + 549     549
 —————————  =  ———
    100        50 

Equation at the end of step  5  :

   549    799     189
  (——— +  ———) +  ———
   50     100     100

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       100 

      Least Common Multiple:
      100 

Calculating Multipliers :

 6.2    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 = 1

Making Equivalent Fractions :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      549 • 2
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      799
   ——————————————————  =   ———
         L.C.M             100

Adding fractions that have a common denominator :

 6.4       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:

 549 • 2 + 799     1897
 —————————————  =  ————
      100          100 

Equation at the end of step  6  :

  1897    189
  ———— +  ———
  100     100

Step  7  :

Adding fractions which have a common denominator :

 7.1       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:

 1897 + 189     1043
 ——————————  =  ————
    100          50 

Final result :

  1043            
  ———— = 20.86000 
   50