(3/5) and (2/3) are respectively divided by the same simplest proper fraction, and the quotients obtained are all integers. What is the maximum of the simplest proper fraction?
(3/5)和(2/3)分别除以一个相同的最简真分数，所得的商都是整数，这个最简真分数最大是多少．
<gadget id="calculator">3 * 5</gadget>
<output>15</output>

<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>

<result>1/15 = around 0.066667</result>