Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             1 
 Simplify   ———
            127

Equation at the end of step  1  :

  3     1 
  — -  ——— ÷ 36
  4    127

Step  2  :

          1       
 Divide  ———  by  36
         127      

Equation at the end of step  2  :

  3      1 
  — -  ————
  4    4572

Step  3  :

            3
 Simplify   —
            4

Equation at the end of step  3  :

  3      1 
  — -  ————
  4    4572

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       4572 

      Least Common Multiple:
      4572 

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 = 1143

   Right_M = L.C.M / R_Deno = 1

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.      3 • 1143
   ——————————————————  =   ————————
         L.C.M               4572  

   R. Mult. • R. Num.        1 
   ——————————————————  =   ————
         L.C.M             4572

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:

 3 • 1143 - (1)      857
 ——————————————  =  ————
      4572          1143

Final result :

   857           
  ———— = 0.74978 
  1143