Solution - Adding, subtracting and finding the least common multiple

Step  1  :

            4
 Simplify   —
            5

Equation at the end of step  1  :

    8         4
  ———— ÷ 30 - —
  1519        5

Step  2  :

              8 
 Simplify   ————
            1519

Equation at the end of step  2  :

    8          4
  ———— ÷ 30 -  —
  1519         5

Step  3  :

           8       
 Divide  ————  by  30
         1519      

Equation at the end of step  3  :

    4      4
  ————— -  —
  22785    5

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       22785 

      The right denominator is :       5 

      Least Common Multiple:
      22785 

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 = 1

   Right_M = L.C.M / R_Deno = 4557

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.        4  
   ——————————————————  =   —————
         L.C.M             22785

   R. Mult. • R. Num.      4 • 4557
   ——————————————————  =   ————————
         L.C.M              22785  

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:

 4 - (4 • 4557)     -18224
 ——————————————  =  ——————
     22785          22785 

Final result :

  -18224            
  —————— = -0.79982 
  22785