There are two groups of numbers A and B, A={(1/6), (1/12), (1/20), (1/30), (1/42)}B={(1/8), (1/24), (1/48), (1/80)} Take a number from each group and multiply them to get a product. What is the sum of all 20 products?
有A、B两组数，A={(1/6)、(1/12)、(1/20)、(1/30)、(1/42)}B={(1/8)、(1/24)、(1/48)、(1/80)}从每一组中各取出一个数，相乘得到一个乘积，所有这20个乘积的总和是多少．
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">1 / 42</gadget>
<output>1/42 = around 0.02381</output>

<gadget id="calculator">(1/6) + (1/12) + (1/20) + (1/30) + (1/42)</gadget>
<output>5/14 = around 0.357143</output>

<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">1 / 48</gadget>
<output>1/48 = around 0.020833</output>

<gadget id="calculator">1 / 80</gadget>
<output>1/80 = around 0.0125</output>

<gadget id="calculator">(1/8) + (1/24) + (1/48) + (1/80)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(5/14) * (1/5)</gadget>
<output>1/14 = around 0.071429</output>

<result>1/14 = around 0.071429</result>