A knowledge contest was held in Guangzhou, in which there were first, second and third prizes. Those who won the first and second prizes accounted for (5/8) of the total number of winners, and those who won the second and third prizes accounted for (7/12) of the total number of winners. Which one has more people won the second prize or the third prize? What percentage of the total number of people?
广州市举行一次知识竞赛，其中设有一二三等奖．获一二等奖的人占总获奖人数的(5/8)，获二三等奖的人数占总获奖人数的(7/12)，请问获二等奖和三等奖的人数哪个多？多占总人数的几分之几？
<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>

<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>

<gadget id="calculator">(7/12) - 1</gadget>
<output>-5/12 = around -0.416667</output>

<gadget id="calculator">(5/8) + (-5/12)</gadget>
<output>5/24 = around 0.208333</output>

<gadget id="calculator">(7/12) - (5/24) - (5/24)</gadget>
<output>1/6 = around 0.166667</output>

<result>1/6 = around 0.166667</result>