Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "t1"   was replaced by   "t^1". 

Step  1  :

               b  
 Simplify   ——————
            t18885 

Equation at the end of step  1  :

     b      
  —————— -  2020
  t18885     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  t¹⁸⁸⁸⁵  as the denominator :

            2020     2020 • t18885
    2020 =  ————  =  —————————————
             1          t18885    

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 :

 2.2       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:

 b - (2020 • t18885)     b - 2020t18885
 ———————————————————  =  ——————————————
       t18885                t18885    

Trying to factor as a Difference of Cubes:

 2.3      Factoring:  b - 2020t¹⁸⁸⁸⁵ 

Theory : A difference of two perfect cubes,  a³ - b³ can be factored into
              (a-b) • (a² +ab +b²)

Proof :  (a-b)•(a²+ab+b²) =
            a³+a²b+ab²-ba²-b²a-b³ =
            a³+(a²b-ba²)+(ab²-b²a)-b³ =
            a³+0+0-b³ =
            a³-b³

Check :  2020  is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

  b - 2020t18885
  ——————————————
      t18885