Solution - Adding, subtracting and finding the least common multiple

\frac{3611}{500} = 7.22200

3611/500=7.22200

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.123" was replaced by "(6123/1000)". 2 more similar replacement(s)

Step 1 :

            6123
 Simplify   ————
            1000

Equation at the end of step 1 :

  13345    6123
  ————— -  ————
  1000     1000

Step 2 :

            2669
 Simplify   ————
            200

Equation at the end of step 2 :

  2669    6123
  ———— -  ————
  200     1000

Step 3 :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       200

      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	3	3	3
5	2	3	3
Product of all Prime Factors	200	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 = 5

   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.      2669 • 5
   ——————————————————  =   ————————
         L.C.M               1000  

   R. Mult. • R. Num.      6123
   ——————————————————  =   ————
         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:

 2669 • 5 - (6123)     3611
 —————————————————  =  ————
       1000            500

Final result :

  3611           
  ———— = 7.22200 
  500

How did we do?

Please leave us feedback.