Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)". 3 more similar replacement(s)

Step  1  :

            9
 Simplify   —
            2

Equation at the end of step  1  :

   186    12     9
  (——— -  ——) -  —
   10     10     2

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

   186    6     9
  (——— -  —) -  —
   10     5     2

Step  3  :

            93
 Simplify   ——
            5 

Equation at the end of step  3  :

   93    6     9
  (—— -  —) -  —
   5     5     2

Step  4  :

Adding fractions which have a common denominator :

 4.1       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:

 93 - (6)     87
 ————————  =  ——
    5         5 

Equation at the end of step  4  :

  87    9
  —— -  —
  5     2

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       2 

      Least Common Multiple:
      10 

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 = 2

   Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      87 • 2
   ——————————————————  =   ——————
         L.C.M               10  

   R. Mult. • R. Num.      9 • 5
   ——————————————————  =   —————
         L.C.M              10  

Adding fractions that have a common denominator :

 5.4       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:

 87 • 2 - (9 • 5)     129
 ————————————————  =  ———
        10            10 

Final result :

  129            
  ——— = 12.90000 
  10