The sixth grade students took the physical test. In the first test (4/7) the students reached the standard. After a month of exercise, the students who did not meet the standard took part in the second test. The number of participants was ( 5/6) all reached the standard, only the remaining 8 students did not meet the standard. Please do the math, how many students are there in the sixth grade?
六年级同学进行体育达标测试，在第一次达标测试中(4/7)的同学达到了标准，经一个月锻炼后，没达标的同学又参加了第二次达标测试，结果参加人数的(5/6)都达到了标准，只余下8名同学没有达标．请算一算，六年级共有多少名同学？
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>

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

<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>

<gadget id="calculator">1 - (4/7)</gadget>
<output>3/7 = around 0.428571</output>

<gadget id="calculator">8 / (1/6) / (3/7)</gadget>
<output>112</output>

<result>112</result>