Calculation: (1/2)+(1/(2+3))+(1/(2+3+4))+(1/(2+3+4+5))+…+(1/( 2+3+4+...+200)).
计算：(1/2)+(1/(2+3))+(1/(2+3+4))+(1/(2+3+4+5))+…+(1/(2+3+4+…+200))．
<gadget id="calculator">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 / 200</gadget>
<output>1/200 = around 0.005</output>

<gadget id="calculator">1 / 201</gadget>
<output>1/201 = around 0.004975</output>

<gadget id="calculator">1 / 202</gadget>
<output>1/202 = around 0.00495</output>

<gadget id="calculator">(1/3) - (1/200) - (1/201) - (1/202)</gadget>
<output>430_933/1_353_400 = around 0.318408</output>

<gadget id="calculator">1 + (1/2) + (430_933/1_353_400)</gadget>
<output>2_461_033/1_353_400 = around 1.818408</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2_461_033/1_353_400) * (2/3)</gadget>
<output>2_461_033/2_030_100 = around 1.212272</output>

<result>2_461_033/2_030_100 = around 1.212272</result>