Calculation: ((1/9)+(1/10)+(1/11)+(1/12))*((1/10)+(1/11)+(1/12)+(1/ 13))-((1/9)+(1/10)+(1/11)+(1/12)+(1/13))*((1/10)+(1/11)+( 1/12))
计算：((1/9)+(1/10)+(1/11)+(1/12))*((1/10)+(1/11)+(1/12)+(1/13))-((1/9)+(1/10)+(1/11)+(1/12)+(1/13))*((1/10)+(1/11)+(1/12))
<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 / 11</gadget>
<output>1/11 = around 0.090909</output>

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

<gadget id="calculator">(1/9) + (1/10) + (1/11) + (1/12)</gadget>
<output>763/1_980 = around 0.385354</output>

<gadget id="calculator">1 / 13</gadget>
<output>1/13 = around 0.076923</output>

<gadget id="calculator">(1/10) + (1/11) + (1/12) + (1/13)</gadget>
<output>3_013/8_580 = around 0.351166</output>

<gadget id="calculator">(763/1_980) * (3_013/8_580)</gadget>
<output>2_298_919/16_988_400 = around 0.135323</output>

<gadget id="calculator">(1/9) + (1/10) + (1/11) + (1/12) + (1/13)</gadget>
<output>11_899/25_740 = around 0.462277</output>

<gadget id="calculator">(1/10) + (1/11) + (1/12)</gadget>
<output>181/660 = around 0.274242</output>

<gadget id="calculator">(11_899/25_740) * (181/660)</gadget>
<output>2_153_719/16_988_400 = around 0.126776</output>

<gadget id="calculator">(2_298_919/16_988_400) - (2_153_719/16_988_400)</gadget>
<output>1/117 = around 0.008547</output>

<result>1/117 = around 0.008547</result>