Calculation: (((1/2))/(1+(1/2)))+(((1/3))/((1+(1/2))(1+(1/3)) ))+...+(((1/99))/((1+(1/2))(1+(1/3))...(1+(1/99)))).
计算：(((1/2))/(1+(1/2)))+(((1/3))/((1+(1/2))(1+(1/3))))+…+(((1/99))/((1+(1/2))(1+(1/3))…(1+(1/99))))．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>

<gadget id="calculator">(1/2) - (1/100)</gadget>
<output>49/100 = around 0.49</output>

<gadget id="calculator">2 * (49/100)</gadget>
<output>49/50 = around 0.98</output>

<result>49/50 = around 0.98</result>