There is a class of students in a certain school who participated in the provincial mathematics competition. One seventh of the students won the first prize, one quarter of the students won the second prize, half of the students won the third prize, and there were less than 6 students left If you win a prize, how many people are there in this class?
某校有一个班的学生都参加了省数学竞赛，七分之一的学生获一等奖，四分之一的学生获二等奖，一半学生获三等奖，还剩下不足6人没获奖，则这个班共有多少人．
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 - (1/7) - (1/4) - (1/2)</gadget>
<output>3/28 = around 0.107143</output>

<gadget id="calculator">3 / (3/28)</gadget>
<output>28</output>

<result>28</result>