Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.53" was replaced by "(753/100)". 3 more similar replacement(s)

Step  1  :

            753
 Simplify   ———
            100

Equation at the end of step  1  :

   4876    2298     753
  (———— +  ————) +  ———
   100     100      100

Step  2  :

            1149
 Simplify   ————
             50 

Equation at the end of step  2  :

   4876    1149     753
  (———— +  ————) +  ———
   100      50      100

Step  3  :

            1219
 Simplify   ————
             25 

Equation at the end of step  3  :

   1219    1149     753
  (———— +  ————) +  ———
    25      50      100

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       50 

      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 = 2

   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.      1219 • 2
   ——————————————————  =   ————————
         L.C.M                50   

   R. Mult. • R. Num.      1149
   ——————————————————  =   ————
         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:

 1219 • 2 + 1149     3587
 ———————————————  =  ————
       50             50 

Equation at the end of step  4  :

  3587    753
  ———— +  ———
   50     100

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      3587 • 2
   ——————————————————  =   ————————
         L.C.M               100   

   R. Mult. • R. Num.      753
   ——————————————————  =   ———
         L.C.M             100

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 3587 • 2 + 753     7927
 ——————————————  =  ————
      100           100 

Final result :

  7927            
  ———— = 79.27000 
  100