A car is driving from place A to place B. If the speed of the car is increased by 20%, it can arrive 1 hour earlier. If you travel a certain distance at the original speed, and then increase the speed by 30%, you can also arrive 1 hour earlier, so what fraction of the total distance is traveled at the original speed?
一辆汽车从甲地开往乙地，如果车速提高20%可以提前1小时到达．如果按原速行驶一段距离后，再将速度提高30%，也可以提前1小时到达，那么按原速行驶了全部路程的几分之几？
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">1 / (6/5)</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / (1/6)</gadget>
<output>6</output>

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

<gadget id="calculator">13 / 60</gadget>
<output>13/60 = around 0.216667</output>

<gadget id="calculator">6 * (1/6) * (13/60)</gadget>
<output>13/60 = around 0.216667</output>

<gadget id="calculator">(1/6) * (13/60)</gadget>
<output>13/360 = around 0.036111</output>

<gadget id="calculator">(13/60) - (1/6) - (13/360)</gadget>
<output>1/72 = around 0.013889</output>

<gadget id="calculator">(13/60) - (1/6)</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/72) / (1/20)</gadget>
<output>5/18 = around 0.277778</output>

<result>5/18 = around 0.277778</result>