certain city holds a sports meeting for primary school students in four districts, namely east, south, west and north. Among the number of participants, the Eastern District accounted for (1/5), the Southern District accounted for (7/30), and the Western District accounted for (4/15). According to statistics after the competition, (1/18) of the participants in the East District won the prize, (1/14) of the participants in the South District won the prize, and (1/16) of the participants in the West District won the prize. The award-winning students in the district accounted for (1/3) of all the award-winning students. Question: What percentage of the number of award-winning students accounted for the number of participating students?
某市举行有东、南、西、北四个区参加的小学生运动会．在参赛人数中，东区占(1/5)，南区占(7/30)，西区占(4/15)．比赛结束后统计，东区参赛人数中有(1/18)的学生获奖，南区参赛人数中有(1/14)的学生获奖，西区参赛人数中有(1/16)的学生获奖，而北区获奖的学生占全部获奖者的(1/3)，问：获奖学生人数占参赛学生人数的几分之几？
<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/18) * (1/5)</gadget>
<output>1/90 = around 0.011111</output>

<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>

<gadget id="calculator">7 / 30</gadget>
<output>7/30 = around 0.233333</output>

<gadget id="calculator">(1/14) * (7/30)</gadget>
<output>1/60 = around 0.016667</output>

<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">4 / 15</gadget>
<output>4/15 = around 0.266667</output>

<gadget id="calculator">(1/16) * (4/15)</gadget>
<output>1/60 = around 0.016667</output>

<gadget id="calculator">(1/90) + (1/60) + (1/60)</gadget>
<output>2/45 = around 0.044444</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2/45) / (2/3)</gadget>
<output>1/15 = around 0.066667</output>

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