Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.9907" was replaced by "(9907/10000)". 3 more similar replacement(s)

Step  1  :

             9907
 Simplify   —————
            10000

Equation at the end of step  1  :

   1819    3052      9907
  (———— +  ————) +  —————
   100     1000     10000

Step  2  :

            763
 Simplify   ———
            250

Equation at the end of step  2  :

   1819    763      9907
  (———— +  ———) +  —————
   100     250     10000

Step  3  :

            1819
 Simplify   ————
            100 

Equation at the end of step  3  :

   1819    763      9907
  (———— +  ———) +  —————
   100     250     10000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       250 

      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 = 5

   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.      1819 • 5
   ——————————————————  =   ————————
         L.C.M               500   

   R. Mult. • R. Num.      763 • 2
   ——————————————————  =   ———————
         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:

 1819 • 5 + 763 • 2     10621
 ——————————————————  =  —————
        500              500 

Equation at the end of step  4  :

  10621     9907
  ————— +  —————
   500     10000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       10000 

      Least Common Multiple:
      10000 

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 = 20

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      10621 • 20
   ——————————————————  =   ——————————
         L.C.M               10000   

   R. Mult. • R. Num.       9907
   ——————————————————  =   —————
         L.C.M             10000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 10621 • 20 + 9907     222327
 —————————————————  =  ——————
       10000           10000 

Final result :

  222327            
  —————— = 22.23270 
  10000