Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "17.24" was replaced by "(1724/100)". 2 more similar replacement(s)

Step  1  :

            431
 Simplify   ———
            25 

Equation at the end of step  1  :

         666     431
  (50 +  ———) +  ———
         100     25 

Step  2  :

            333
 Simplify   ———
            50 

Equation at the end of step  2  :

         333     431
  (50 +  ———) +  ———
         50      25 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  50  as the denominator :

           50     50 • 50
     50 =  ——  =  ———————
           1        50   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       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:

 50 • 50 + 333     2833
 —————————————  =  ————
      50            50 

Equation at the end of step  3  :

  2833    431
  ———— +  ———
   50     25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      Least Common Multiple:
      50 

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 = 1

   Right_M = L.C.M / R_Deno = 2

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.      2833
   ——————————————————  =   ————
         L.C.M              50 

   R. Mult. • R. Num.      431 • 2
   ——————————————————  =   ———————
         L.C.M               50   

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 2833 + 431 • 2     739
 ——————————————  =  ———
       50           10 

Final result :

  739            
  ——— = 73.90000 
  10