Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.98" was replaced by "(98/100)". 3 more similar replacement(s)

Step  1  :

            49
 Simplify   ——
            50

Equation at the end of step  1  :

   80048     37     49
  (————— +  ———) +  ——
   10000    100     50

Step  2  :

             37
 Simplify   ———
            100

Equation at the end of step  2  :

   80048     37     49
  (————— +  ———) +  ——
   10000    100     50

Step  3  :

            5003
 Simplify   ————
            625 

Equation at the end of step  3  :

   5003     37     49
  (———— +  ———) +  ——
   625     100     50

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       625 

      The right denominator is :       100 

      Least Common Multiple:
      2500 

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 = 4

   Right_M = L.C.M / R_Deno = 25

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.      5003 • 4
   ——————————————————  =   ————————
         L.C.M               2500  

   R. Mult. • R. Num.      37 • 25
   ——————————————————  =   ———————
         L.C.M              2500  

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:

 5003 • 4 + 37 • 25     20937
 ——————————————————  =  —————
        2500            2500 

Equation at the end of step  4  :

  20937    49
  ————— +  ——
  2500     50

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       2500 

      The right denominator is :       50 

      Least Common Multiple:
      2500 

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 = 50

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      20937
   ——————————————————  =   —————
         L.C.M             2500 

   R. Mult. • R. Num.      49 • 50
   ——————————————————  =   ———————
         L.C.M              2500  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 20937 + 49 • 50     23387
 ———————————————  =  —————
      2500           2500 

Final result :

  23387           
  ————— = 9.35480 
  2500