Solution - Reducing fractions to their lowest terms

Step  1  :

             1 
 Simplify   ———
            100

Equation at the end of step  1  :

              1 
  1 • ((1 +  ———)2016)
             100

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

          1     1 • 100
     1 =  —  =  ———————
          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 :

 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:

 100 + 1     101
 ———————  =  ———
   100       100

Equation at the end of step  2  :

       101
  1 • (———)2016)
       100

Step  3  :

 3.1     100 = 2²•5² (100)²⁰¹⁶ = (2²•5²)²⁰¹⁶ = 2⁴⁰³² • 5⁴⁰³²

Equation at the end of step  3  :

         1012016   
  1 • —————————————
      (24032•54032) 

Step  4  :

Final result :

     1012016                                    
  ————————————— = 5.15098 • 108 
  (24032•54032)