Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             2 
 Simplify   ———
            145

Equation at the end of step  1  :

        1      2 
  (0 -  —) -  ——— ÷ 7
        4     145

Step  2  :

          2       
 Divide  ———  by  7
         145      

Equation at the end of step  2  :

        1       2 
  (0 -  —) -  ————
        4     1015

Step  3  :

            1
 Simplify   —
            4

Equation at the end of step  3  :

        1       2 
  (0 -  —) -  ————
        4     1015

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       1015 

      Least Common Multiple:
      4060 

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 = 1015

   Right_M = L.C.M / R_Deno = 4

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.      -1 • 1015
   ——————————————————  =   —————————
         L.C.M               4060   

   R. Mult. • R. Num.      2 • 4
   ——————————————————  =   —————
         L.C.M             4060 

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:

 -1 • 1015 - (2 • 4)     -1023
 ———————————————————  =  —————
        4060             4060 

Final result :

  -1023            
  ————— = -0.25197 
  4060