((1/2)+(1/3)+(1/4)+(1/5))*((1/3)+(1/4)+(1/5)+(1/6) )-((1/2)+(1/3)+(1/4)+(1/5)+(1/6))*((1/3)+(1/4)+(1/ 5))
((1/2)+(1/3)+(1/4)+(1/5))*((1/3)+(1/4)+(1/5)+(1/6))-((1/2)+(1/3)+(1/4)+(1/5)+(1/6))*((1/3)+(1/4)+(1/5))
<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 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/2) + (1/3) + (1/4) + (1/5)</gadget>
<output>77/60 = around 1.283333</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/3) + (1/4) + (1/5) + (1/6)</gadget>
<output>19/20 = around 0.95</output>

<gadget id="calculator">(77/60) * (19/20)</gadget>
<output>1_463/1_200 = around 1.219167</output>

<gadget id="calculator">(1/2) + (1/3) + (1/4) + (1/5) + (1/6)</gadget>
<output>29/20 = around 1.45</output>

<gadget id="calculator">(1/3) + (1/4) + (1/5)</gadget>
<output>47/60 = around 0.783333</output>

<gadget id="calculator">(29/20) * (47/60)</gadget>
<output>1_363/1_200 = around 1.135833</output>

<gadget id="calculator">(1_463/1_200) - (1_363/1_200)</gadget>
<output>1/12 = around 0.083333</output>

<result>1/12 = around 0.083333</result>