Calculate (1/(1*2*3))+(1/(2*3*4))+(1/(3*4*5))+(1/(4*5*6))+( 1/(5*6*7)).
计算(1/(1*2*3))+(1/(2*3*4))+(1/(3*4*5))+(1/(4*5*6))+(1/(5*6*7))．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 * 2</gadget>
<output>2</output>

<gadget id="calculator">2 * 3</gadget>
<output>6</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/2) - (1/6)</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">3 * 4</gadget>
<output>12</output>

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

<gadget id="calculator">(1/6) - (1/12)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">4 * 5</gadget>
<output>20</output>

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

<gadget id="calculator">(1/12) - (1/20)</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">5 * 6</gadget>
<output>30</output>

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

<gadget id="calculator">(1/20) - (1/30)</gadget>
<output>1/60 = around 0.016667</output>

<gadget id="calculator">(1/3) + (1/12) + (1/30) + (1/60)</gadget>
<output>7/15 = around 0.466667</output>

<gadget id="calculator">(1/2) * (7/15)</gadget>
<output>7/30 = around 0.233333</output>

<result>7/30 = around 0.233333</result>