Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "48.778" was replaced by "(48778/1000)". 3 more similar replacement(s)

Step  1  :

            24389
 Simplify   —————
             500 

Equation at the end of step  1  :

   1775    8279     24389
  (———— +  ————) +  —————
   100     100       500 

Step  2  :

            8279
 Simplify   ————
            100 

Equation at the end of step  2  :

   1775    8279     24389
  (———— +  ————) +  —————
   100     100       500 

Step  3  :

            71
 Simplify   ——
            4 

Equation at the end of step  3  :

   71    8279     24389
  (—— +  ————) +  —————
   4     100       500 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 25

   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.      71 • 25
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      8279
   ——————————————————  =   ————
         L.C.M             100 

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:

 71 • 25 + 8279     5027
 ——————————————  =  ————
      100            50 

Equation at the end of step  4  :

  5027    24389
  ———— +  —————
   50      500 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       500 

      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 = 10

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      5027 • 10
   ——————————————————  =   —————————
         L.C.M                500   

   R. Mult. • R. Num.      24389
   ——————————————————  =   —————
         L.C.M              500 

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 5027 • 10 + 24389     74659
 —————————————————  =  —————
        500             500 

Final result :

  74659             
  ————— = 149.31800 
   500