Calculation: (1/((1/(1*2))+(1/(2*3))+(1/(3*4))+…+(1/(99*100))))= How many.
计算：(1/((1/(1*2))+(1/(2*3))+(1/(3*4))+…+(1/(99*100))))=多少．
<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>

<gadget id="calculator">1 - (1/100)</gadget>
<output>99/100 = around 0.99</output>

<gadget id="calculator">1 / (99/100)</gadget>
<output>100/99 = around 1.010101</output>

<result>100/99 = around 1.010101</result>