Solution - Adding, subtracting and finding the least common multiple

Step  1  :

             9
 Simplify   ——
            10

Equation at the end of step  1  :

      2  4      9
  ((0-—)-—)+(0-——)
      5  5     10

Step  2  :

            4
 Simplify   —
            5

Equation at the end of step  2  :

         2     4     -9
  ((0 -  —) -  —) +  ——
         5     5     10

Step  3  :

            2
 Simplify   —
            5

Equation at the end of step  3  :

         2     4     -9
  ((0 -  —) -  —) +  ——
         5     5     10

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:

 -2 - (4)     -6
 ————————  =  ——
    5         5 

Equation at the end of step  4  :

  -6    -9
  —— +  ——
  5     10

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       10 

      Least Common Multiple:
      10 

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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      -6 • 2
   ——————————————————  =   ——————
         L.C.M               10  

   R. Mult. • R. Num.      -9
   ——————————————————  =   ——
         L.C.M             10

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:

 -6 • 2 + -9     -21
 ———————————  =  ———
     10          10 

Final result :

  -21            
  ——— = -2.10000 
  10