What is the product of the sum of the reciprocals of (1/2) and (1/3) multiplied by the reciprocals of the sum of (1/3) and (1/4)?
(1/2)与(1/3)的倒数的和乘(1/3)与(1/4)和的倒数，积是多少？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / (1/3)</gadget>
<output>3</output>

<gadget id="calculator">(1/2) + 3</gadget>
<output>7/2 = around 3.5</output>

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

<gadget id="calculator">(1/3) + (1/4)</gadget>
<output>7/12 = around 0.583333</output>

<gadget id="calculator">1 / (7/12)</gadget>
<output>12/7 = around 1.714286</output>

<gadget id="calculator">(7/2) * (12/7)</gadget>
<output>6</output>

<result>6</result>