Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             7
 Simplify   ——
            12

Equation at the end of step  1  :

    5    11      7
  (—— +  ——) +  ——
   12    12     12

Step  2  :

            11
 Simplify   ——
            12

Equation at the end of step  2  :

    5    11      7
  (—— +  ——) +  ——
   12    12     12

Step  3  :

             5
 Simplify   ——
            12

Equation at the end of step  3  :

    5    11      7
  (—— +  ——) +  ——
   12    12     12

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:

 5 + 11     4
 ——————  =  —
   12       3

Equation at the end of step  4  :

  4     7
  — +  ——
  3    12

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       3 

      The right denominator is :       12 

      Least Common Multiple:
      12 

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 = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      4 • 4
   ——————————————————  =   —————
         L.C.M              12  

   R. Mult. • R. Num.       7
   ——————————————————  =   ——
         L.C.M             12

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:

 4 • 4 + 7     23
 —————————  =  ——
    12         12

Final result :

  23           
  —— = 1.91667 
  12