Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             1
 Simplify   ——
            52

Equation at the end of step  1  :

   1         1
  ——— ÷ 4 - ——
  131       52

Step  2  :

             1 
 Simplify   ———
            131

Equation at the end of step  2  :

   1          1
  ——— ÷ 4 -  ——
  131        52

Step  3  :

          1       
 Divide  ———  by  4
         131      

Equation at the end of step  3  :

   1      1
  ——— -  ——
  524    52

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       524 

      The right denominator is :       52 

      Least Common Multiple:
      6812 

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 = 13

   Right_M = L.C.M / R_Deno = 131

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.       13 
   ——————————————————  =   ————
         L.C.M             6812

   R. Mult. • R. Num.       131
   ——————————————————  =   ————
         L.C.M             6812

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:

 13 - (131)      -59
 ——————————  =  ————
    6812        3406

Final result :

   -59            
  ———— = -0.01732 
  3406