https://www.sulprobil.de/tags/nearest-rational-number/ Recent content in Nearest Rational Number on Sulprobil Hugo en Wed, 20 May 2026 04:25:00 +0100 https://www.sulprobil.de/sbnrn_en/ Wed, 20 May 2026 04:25:00 +0100 https://www.sulprobil.de/sbnrn_en/ <p><strong>&ldquo;God made the integers, all the rest is the work of man.&rdquo; [Leopold Kronecker]</strong></p> <h2 id="abstract">Abstract</h2> <p>Which rational number is a good proxy of π (3.1415926&hellip;)? Enter in cell A1 ‘=pi()&rsquo;, in cell B1 your maximal denominator (for example 10), and in cells C1:D1 ‘=sbNRN(A1,B1)' as array formula (with CTRL + SHIFT + ENTER). You will get in C1:D1 22 and 7. That means: 22/7 is the nearest rational number to π with a denominator not higher than 10. For 1000 in B1 you would get 355/113.</p>