For a fraction, the sum of the numerator and the denominator is 43. If 3 is added to both the numerator and the denominator, the resulting fraction will be divided into (1/6). What is the original fraction?
一个分数，分子、分母的和是43，如果分子、分母都加上3，所得的分数约分后是(1/6)，原来分数是多少？
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/6) * 43</gadget>
<output>43/6 = around 7.166667</output>

<gadget id="calculator">(1/6) * 3</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(1/2) - 3</gadget>
<output>-5/2 = around -2.5</output>

<gadget id="calculator">(43/6) + (-5/2)</gadget>
<output>14/3 = around 4.666667</output>

<gadget id="calculator">1 + (1/6)</gadget>
<output>7/6 = around 1.166667</output>

<gadget id="calculator">(14/3) / (7/6)</gadget>
<output>4</output>

<gadget id="calculator">43 - 4</gadget>
<output>39</output>

<gadget id="calculator">(14/3) / (7/6) / 39</gadget>
<output>4/39 = around 0.102564</output>

<result>4/39 = around 0.102564</result>