There are 120 students in the sixth grade who participated in the "My Chinese Dream" composition competition. 6 people won the first prize, 15% of the total number won the second prize, and the third prize was more than the second prize (1/3). What percentage of the total number of award-winning students?
六年级有120人参加"我的中国梦"作文竞赛，获一等奖的6人，获二等奖的占总人数的15%，三等奖比二等奖多(1/3)．获奖的同学占总人数的百分之几？
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">120 * (3/20)</gadget>
<output>18</output>

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

<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">18 * (4/3)</gadget>
<output>24</output>

<gadget id="calculator">6 + 18 + 24</gadget>
<output>48</output>

<gadget id="calculator">48 / 120</gadget>
<output>2/5 = around 0.4</output>

<result>2/5 = around 0.4</result>