Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.907" was replaced by "(907/1000)". 3 more similar replacement(s)

Step  1  :

             907
 Simplify   ————
            1000

Equation at the end of step  1  :

   148    625      907
  (——— +  ———) +  ————
   10     100     1000

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

   148    25      907
  (——— +  ——) +  ————
   10     4      1000

Step  3  :

            74
 Simplify   ——
            5 

Equation at the end of step  3  :

   74    25      907
  (—— +  ——) +  ————
   5     4      1000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       4 

      Least Common Multiple:
      20 

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 = 5

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.      74 • 4
   ——————————————————  =   ——————
         L.C.M               20  

   R. Mult. • R. Num.      25 • 5
   ——————————————————  =   ——————
         L.C.M               20  

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:

 74 • 4 + 25 • 5     421
 ———————————————  =  ———
       20            20 

Equation at the end of step  4  :

  421     907
  ——— +  ————
  20     1000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       20 

      The right denominator is :       1000 

      Least Common Multiple:
      1000 

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 = 50

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      421 • 50
   ——————————————————  =   ————————
         L.C.M               1000  

   R. Mult. • R. Num.       907
   ——————————————————  =   ————
         L.C.M             1000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 421 • 50 + 907     21957
 ——————————————  =  —————
      1000          1000 

Final result :

  21957            
  ————— = 21.95700 
  1000