A piece of iron wire, cut off its (1/4) and (1/4) meter for the first time, cut off the remaining (1/3) and (1/3) meter for the second time, and cut off the remaining (1/3) and (1/3) meter for the third time Remove the remaining (1/2) and (1/2) meters, and finally there is (1/2) meter left. How many meters was the original length of this iron wire?
一根铁丝，第一次截去它的(1/4)又(1/4)米，第二次截去剩下的(1/3)又(1/3)米，第三次再截去剩下的(1/2)又(1/2)米，最后还剩(1/2)米，这根铁丝原长多少米？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(1/2) + (1/2)</gadget>
<output>1</output>

<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / (1/2)</gadget>
<output>2</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">2 + (1/3)</gadget>
<output>7/3 = around 2.333333</output>

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(7/3) / (2/3)</gadget>
<output>7/2 = around 3.5</output>

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

<gadget id="calculator">(7/2) + (1/4)</gadget>
<output>15/4 = around 3.75</output>

<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(15/4) / (3/4)</gadget>
<output>5</output>

<result>5</result>