Solution - Adding, subtracting and finding the least common multiple

Step  1  :

            5
 Simplify   —
            9

Equation at the end of step  1  :

   4    2     5
  (— +  —) -  —
   9    9     9

Step  2  :

            2
 Simplify   —
            9

Equation at the end of step  2  :

   4    2     5
  (— +  —) -  —
   9    9     9

Step  3  :

            4
 Simplify   —
            9

Equation at the end of step  3  :

   4    2     5
  (— +  —) -  —
   9    9     9

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:

 4 + 2     2
 —————  =  —
   9       3

Equation at the end of step  4  :

  2    5
  — -  —
  3    9

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       3 

      The right denominator is :       9 

      Least Common Multiple:
      9 

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 = 3

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      2 • 3
   ——————————————————  =   —————
         L.C.M               9  

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

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:

 2 • 3 - (5)     1
 ———————————  =  —
      9          9

Final result :

  1           
  — = 0.11111 
  9