Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

         67     3     
  ((0 -  ——) +  —) -  100
         50     2     

Step  2  :

            67
 Simplify   ——
            50

Equation at the end of step  2  :

         67     3     
  ((0 -  ——) +  —) -  100
         50     2     

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       2 

      Least Common Multiple:
      50 

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 = 1

   Right_M = L.C.M / R_Deno = 25

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.      -67
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      3 • 25
   ——————————————————  =   ——————
         L.C.M               50  

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:

 -67 + 3 • 25      4
 ————————————  =  ——
      50          25

Equation at the end of step  3  :

   4    
  —— -  100
  25    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  25  as the denominator :

           100     100 • 25
    100 =  ———  =  ————————
            1         25   

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 :

 4.2       Adding up the two equivalent fractions

 4 - (100 • 25)     -2496
 ——————————————  =  —————
       25            25  

Final result :

  -2496             
  ————— = -99.84000 
   25