In the sixth grade, two extracurricular interest groups were established, and all the sixth grade students signed up to participate. Among them, the students who participated in the science and technology group accounted for (2/3) of the total, and the students who participated in the art group accounted for (5/12) of the total. There were 12 students who participated in these two groups at the same time. How many students are there in the sixth grade?
六年级成立了两个课外兴趣小组，六年级的同学都报名参加了．其中参加科技小组的同学占总数的(2/3)，参加文艺小组的同学占总数的(5/12)，同时参加这两个小组的有12个同学，六年级的同学一共有多少人？
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">(5/12) - 1</gadget>
<output>-7/12 = around -0.583333</output>

<gadget id="calculator">(2/3) + (-7/12)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">12 / (1/12)</gadget>
<output>144</output>

<result>144</result>