If "△" is stipulated to represent a new operation, its meaning is x△y=(1/(xy))+(1/((x+1)*(y+A))), known 2△ 1=(1/(2*1))+(1/((2+1)*(1+A)))=(2/3), then 2007△2008=how much.
若规定"△"表示一种新的运算，它的含义是x△y=(1/(xy))+(1/((x+1)*(y+A)))，已知2△1=(1/(2*1))+(1/((2+1)*(1+A)))=(2/3)，则2007△2008=多少．
<gadget id="calculator">2_007 * 2_008</gadget>
<output>4_030_056</output>

<gadget id="calculator">1 / 4_030_056</gadget>
<output>1/4_030_056 = around 0</output>

<gadget id="calculator">2_007 + 1</gadget>
<output>2_008</output>

<gadget id="calculator">2_008 + 1</gadget>
<output>2_009</output>

<gadget id="calculator">2_008 * 2_009</gadget>
<output>4_034_072</output>

<gadget id="calculator">1 / 4_034_072</gadget>
<output>1/4_034_072 = around 0</output>

<gadget id="calculator">(1/4_030_056) + (1/4_034_072)</gadget>
<output>2/4_032_063 = around 0</output>

<result>2/4_032_063 = around 0</result>