Calculation: ((1-(1/2)+(1/3)-(1/4)+(1/5)-(1/6)+(1/7)-(1/8)+(1 /9)-(1/10))/((1/(1+11))+(1/(2+12))+(1/(3+13))+(1/(4+14) )+(1/(5+15)))).
计算：((1-(1/2)+(1/3)-(1/4)+(1/5)-(1/6)+(1/7)-(1/8)+(1/9)-(1/10))/((1/(1+11))+(1/(2+12))+(1/(3+13))+(1/(4+14))+(1/(5+15))))．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

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

<gadget id="calculator">(1/3) - (1/4)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

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

<gadget id="calculator">(1/5) - (1/6)</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

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

<gadget id="calculator">(1/7) - (1/8)</gadget>
<output>1/56 = around 0.017857</output>

<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(1/9) - (1/10)</gadget>
<output>1/90 = around 0.011111</output>

<gadget id="calculator">(1/2) + (1/12) + (1/30) + (1/56) + (1/90)</gadget>
<output>1_627/2_520 = around 0.645635</output>

<gadget id="calculator">1 + 11</gadget>
<output>12</output>

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

<gadget id="calculator">2 + 12</gadget>
<output>14</output>

<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>

<gadget id="calculator">3 + 13</gadget>
<output>16</output>

<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">4 + 14</gadget>
<output>18</output>

<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>

<gadget id="calculator">5 + 15</gadget>
<output>20</output>

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

<gadget id="calculator">(1/12) + (1/14) + (1/16) + (1/18) + (1/20)</gadget>
<output>1_627/5_040 = around 0.322817</output>

<gadget id="calculator">(1_627/2_520) / (1_627/5_040)</gadget>
<output>2</output>

<result>2</result>