Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "44.24" was replaced by "(4424/100)". 3 more similar replacement(s)

Step  1  :

            1106
 Simplify   ————
             25 

Equation at the end of step  1  :

   242    32126     1106
  (——— +  —————) +  ————
   100    1000       25 

Step  2  :

            16063
 Simplify   —————
             500 

Equation at the end of step  2  :

   242    16063     1106
  (——— +  —————) +  ————
   100     500       25 

Step  3  :

            121
 Simplify   ———
            50 

Equation at the end of step  3  :

   121    16063     1106
  (——— +  —————) +  ————
   50      500       25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       500 

      Least Common Multiple:
      500 

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 = 10

   Right_M = L.C.M / R_Deno = 1

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.      121 • 10
   ——————————————————  =   ————————
         L.C.M               500   

   R. Mult. • R. Num.      16063
   ——————————————————  =   —————
         L.C.M              500 

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:

 121 • 10 + 16063     17273
 ————————————————  =  —————
       500             500 

Equation at the end of step  4  :

  17273    1106
  ————— +  ————
   500      25 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       25 

      Least Common Multiple:
      500 

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 = 1

   Right_M = L.C.M / R_Deno = 20

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      17273
   ——————————————————  =   —————
         L.C.M              500 

   R. Mult. • R. Num.      1106 • 20
   ——————————————————  =   —————————
         L.C.M                500   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 17273 + 1106 • 20     39393
 —————————————————  =  —————
        500             500 

Final result :

  39393            
  ————— = 78.78600 
   500