Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "17.37" was replaced by "(1737/100)". 3 more similar replacement(s)

Step  1  :

            1737
 Simplify   ————
            100 

Equation at the end of step  1  :

    642     4             1737
  ((——— +  ———) +  18) +  ————
    100    100            100 

Step  2  :

             1
 Simplify   ——
            25

Equation at the end of step  2  :

    642     1            1737
  ((——— +  ——) +  18) +  ————
    100    25            100 

Step  3  :

            321
 Simplify   ———
            50 

Equation at the end of step  3  :

    321     1            1737
  ((——— +  ——) +  18) +  ————
    50     25            100 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      Least Common Multiple:
      50 

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 = 2

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.      321
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.       2
   ——————————————————  =   ——
         L.C.M             50

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:

 321 + 2     323
 ———————  =  ———
   50        50 

Equation at the end of step  4  :

   323           1737
  (——— +  18) +  ————
   50            100 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

          18     18 • 50
    18 =  ——  =  ———————
          1        50   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 5.2       Adding up the two equivalent fractions

 323 + 18 • 50     1223
 —————————————  =  ————
      50            50 

Equation at the end of step  5  :

  1223    1737
  ———— +  ————
   50     100 

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 1

Making Equivalent Fractions :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      1223 • 2
   ——————————————————  =   ————————
         L.C.M               100   

   R. Mult. • R. Num.      1737
   ——————————————————  =   ————
         L.C.M             100 

Adding fractions that have a common denominator :

 6.4       Adding up the two equivalent fractions

 1223 • 2 + 1737     4183
 ———————————————  =  ————
       100           100 

Final result :

  4183            
  ———— = 41.83000 
  100