Question 979309
Find ten rational numbers between 1/2 and 2/3.
<pre>
Get a large common denominator, say, 120

{{{1/2}}}{{{""=""}}}{{{60/120}}}
{{{2/3}}}{{{""=""}}}{{{80/120}}}

Pick 10 different numerators between 60 and 80 to put over 120:

{{{61/120}}},{{{62/120}}},{{{63/120}}},{{{64/120}}},{{{65/120}}},{{{66/120}}},{{{67/120}}},{{{68/120}}},{{{69/120}}},{{{70/120}}}

Reduce the ones that can be:

{{{61/120}}},{{{31/60}}},{{{21/400}}},{{{8/15}}},{{{13/24}}},{{{11/20}}},{{{67/120}}},{{{17/30}}},{{{23/40}}},{{{7/12}}}

Edwin</pre>