Dreamshire

Showing what's behind the curtain

// archives

fractions

This tag is associated with 8 posts

By Mike Molony ⋅ April 25, 2015 ⋅ Post a comment

Counting the number of consecutive nines at the beginning of the fractional part of (√p+√q)²ⁿ

By Mike Molony ⋅ April 30, 2009 ⋅ 6 comments

Find the value of d < 1000 for which 1/d contains the longest recurring cycle.

By Mike Molony ⋅ April 22, 2009 ⋅ 8 comments

Discover all the fractions with an unorthodox cancelling method.

By Mike Molony ⋅ January 23, 2011 ⋅ Post a comment

Find the continued fractions for N ≤ 10000 have an odd period.

By Mike Molony ⋅ January 22, 2011 ⋅ 6 comments

Investigate the Diophantine equation x² − Dy² = 1.

By Mike Molony ⋅ January 20, 2011 ⋅ Post a comment

Listing reduced proper fractions in ascending order of size.

By Mike Molony ⋅ January 20, 2011 ⋅ 3 comments

How many elements would be contained in the set of reduced proper fractions for d ≤ 1,000,000?

By Mike Molony ⋅ January 20, 2011 ⋅ 2 comments

Find the number of fractions that lie between 1/3 and 1/2 in a sorted set of reduced proper fractions.

If you don't build your dream, someone will hire you to build theirs.