Solution - Adding, subtracting and finding the least common multiple

\frac{396617}{100000} = 3.96617

396617/100000=3.96617

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.03683" was replaced by "(03683/100000)". 2 more similar replacement(s)

Step 1 :

             3683 
 Simplify   ——————
            100000

Equation at the end of step 1 :

  4003     3683 
  ———— -  ——————
  1000    100000

Step 2 :

            4003
 Simplify   ————
            1000

Equation at the end of step 2 :

  4003     3683 
  ———— -  ——————
  1000    100000

Step 3 :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       1000

      The right denominator is :       100000

Number of times each prime factor
appears in the factorization of:
Prime Factor	Left Denominator	Right Denominator	L.C.M = Max {Left,Right}
2	3	5	5
5	3	5	5
Product of all Prime Factors	1000	100000	100000

Least Common Multiple:
100000

Calculating Multipliers :

3.2    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 = 100

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

3.3 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.      4003 • 100
   ——————————————————  =   ——————————
         L.C.M               100000  

   R. Mult. • R. Num.       3683 
   ——————————————————  =   ——————
         L.C.M             100000

Adding fractions that have a common denominator :

3.4 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:

 4003 • 100 - (3683)     396617
 ———————————————————  =  ——————
       100000            100000

Final result :

  396617           
  —————— = 3.96617 
  100000

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