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)". 2 more similar replacement(s)

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

         142           3
  (16 -  ———) +  (0 -  —)
         100           2

Step  2  :

            71
 Simplify   ——
            50

Equation at the end of step  2  :

         71     -3
  (16 -  ——) +  ——
         50     2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

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

           16     16 • 50
     16 =  ——  =  ———————
           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:

 16 • 50 - (71)     729
 ——————————————  =  ———
       50           50 

Equation at the end of step  3  :

  729    -3
  ——— +  ——
  50     2 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       2 

      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 = 25

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.      729
   ——————————————————  =   ———
         L.C.M             50 

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

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 729 + -3 • 25     327
 —————————————  =  ———
      50           25 

Final result :

  327            
  ——— = 13.08000 
  25