Champernowne Constant


The Champernowne constant is defined by concatenating consecutive integers: “0.123456789101112…”. The GCF of a set of numbers is the greatest number that divides equally into all numbers in that set (2 is the GCF of 4 and 6 for example). To reduce a fraction to simplest form, you divide the numerator and denominator (top and bottom parts) by the GCF of both the numerator and denominator (reducing 2/6 to simplest form produces 1/3 for example). When the Champernowne constant is rounded to 4 decimal places, it produces the fraction – in simplest form – of 247/2000. Find the fraction in simplest form that is produced when rounding the Champernowne constant to 100 decimal places.

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