Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.625" was replaced by "(1625/1000)". 2 more similar replacement(s)

Step  1  :

            13
 Simplify   ——
            8 

Equation at the end of step  1  :

    2     4     13
  (—— -  ——) -  ——
   10    10     8 

Step  2  :

            2
 Simplify   —
            5

Equation at the end of step  2  :

    2    2     13
  (—— -  —) -  ——
   10    5     8 

Step  3  :

            1
 Simplify   —
            5

Equation at the end of step  3  :

   1    2     13
  (— -  —) -  ——
   5    5     8 

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:

 1 - (2)     -1
 ———————  =  ——
    5        5 

Equation at the end of step  4  :

  -1    13
  —— -  ——
  5     8 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       8 

      Least Common Multiple:
      40 

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 = 8

   Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      -1 • 8
   ——————————————————  =   ——————
         L.C.M               40  

   R. Mult. • R. Num.      13 • 5
   ——————————————————  =   ——————
         L.C.M               40  

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:

 -1 • 8 - (13 • 5)     -73
 —————————————————  =  ———
        40             40 

Final result :

  -73            
  ——— = -1.82500 
  40