Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.68" was replaced by "(568/100)". 2 more similar replacement(s)

Step  1  :

            142
 Simplify   ———
            25 

Equation at the end of step  1  :

         437           142
  (29 -  ———) +  (0 -  ———)
         100           25 

Step  2  :

            437
 Simplify   ———
            100

Equation at the end of step  2  :

         437     -142
  (29 -  ———) +  ————
         100      25 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

           29     29 • 100
     29 =  ——  =  ————————
           1        100   

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:

 29 • 100 - (437)     2463
 ————————————————  =  ————
       100            100 

Equation at the end of step  3  :

  2463    -142
  ———— +  ————
  100      25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       25 

      Least Common Multiple:
      100 

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 = 4

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.      2463
   ——————————————————  =   ————
         L.C.M             100 

   R. Mult. • R. Num.      -142 • 4
   ——————————————————  =   ————————
         L.C.M               100   

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 2463 + -142 • 4     379
 ———————————————  =  ———
       100           20 

Final result :

  379            
  ——— = 18.95000 
  20