Solution - Adding, subtracting and finding the least common multiple

\frac{12237}{200} = 61.18500

12237/200=61.18500

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.821" was replaced by "(9821/1000)". 2 more similar replacement(s)

Step 1 :

            9821
 Simplify   ————
            1000

Equation at the end of step 1 :

  71006    9821
  ————— -  ————
  1000     1000

Step 2 :

            35503
 Simplify   —————
             500

Equation at the end of step 2 :

  35503    9821
  ————— -  ————
   500     1000

Step 3 :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       500

      The right denominator is :       1000

Number of times each prime factor
appears in the factorization of:
Prime Factor	Left Denominator	Right Denominator	L.C.M = Max {Left,Right}
2	2	3	3
5	3	3	3
Product of all Prime Factors	500	1000	1000

Least Common Multiple:
1000

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 = 2

   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.      35503 • 2
   ——————————————————  =   —————————
         L.C.M               1000   

   R. Mult. • R. Num.      9821
   ——————————————————  =   ————
         L.C.M             1000

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:

 35503 • 2 - (9821)     12237
 ——————————————————  =  —————
        1000             200

Final result :

  12237            
  ————— = 61.18500 
   200

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