Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.345" was replaced by "(345/1000)".

Step  1  :

             69
 Simplify   ———
            200

Equation at the end of step  1  :

   1   2      69
  (— • —) +  ———
   2   3     200

Step  2  :

            2
 Simplify   —
            3

Equation at the end of step  2  :

   1   2      69
  (— • —) +  ———
   2   3     200

Step  3  :

            1
 Simplify   —
            2

Equation at the end of step  3  :

   1   2      69
  (— • —) +  ———
   2   3     200

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       3 

      The right denominator is :       200 

      Least Common Multiple:
      600 

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 = 200

   Right_M = L.C.M / R_Deno = 3

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.      200
   ——————————————————  =   ———
         L.C.M             600

   R. Mult. • R. Num.      69 • 3
   ——————————————————  =   ——————
         L.C.M              600  

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:

 200 + 69 • 3     407
 ————————————  =  ———
     600          600

Final result :

  407           
  ——— = 0.67833 
  600