Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.5" was replaced by "(85/10)". 4 more similar replacement(s)

Step  1  :

            17
 Simplify   ——
            2 

Equation at the end of step  1  :

    36 36  85  17
  ((——+——)+——)+——
    10 10  10  2 

Step  2  :

            17
 Simplify   ——
            2 

Equation at the end of step  2  :

    36    36     17     17
  ((—— +  ——) +  ——) +  ——
    10    10     2      2 

Step  3  :

            18
 Simplify   ——
            5 

Equation at the end of step  3  :

    36    18     17     17
  ((—— +  ——) +  ——) +  ——
    10    5      2      2 

Step  4  :

            18
 Simplify   ——
            5 

Equation at the end of step  4  :

    18    18     17     17
  ((—— +  ——) +  ——) +  ——
    5     5      2      2 

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 18 + 18     36
 ———————  =  ——
    5        5 

Equation at the end of step  5  :

   36    17     17
  (—— +  ——) +  ——
   5     2      2 

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       2 

      Least Common Multiple:
      10 

Calculating Multipliers :

 6.2    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 = 5

Making Equivalent Fractions :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      36 • 2
   ——————————————————  =   ——————
         L.C.M               10  

   R. Mult. • R. Num.      17 • 5
   ——————————————————  =   ——————
         L.C.M               10  

Adding fractions that have a common denominator :

 6.4       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:

 36 • 2 + 17 • 5     157
 ———————————————  =  ———
       10            10 

Equation at the end of step  6  :

  157    17
  ——— +  ——
  10     2 

Step  7  :

Calculating the Least Common Multiple :

 7.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       2 

      Least Common Multiple:
      10 

Calculating Multipliers :

 7.2    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 = 5

Making Equivalent Fractions :

 7.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      157
   ——————————————————  =   ———
         L.C.M             10 

   R. Mult. • R. Num.      17 • 5
   ——————————————————  =   ——————
         L.C.M               10  

Adding fractions that have a common denominator :

 7.4       Adding up the two equivalent fractions

 157 + 17 • 5     121
 ————————————  =  ———
      10           5 

Final result :

  121            
  ——— = 24.20000 
   5