For a simple fraction, the sum of the numerator and the denominator is 52. If the numerator is subtracted from 3 and the denominator is subtracted from 1, what is the new fraction obtained after reduction is equal to (1/3) the original fraction?
一个最简分数，分子、分母的和是52，若分子减去3，分母减去1，所得新分数约简后等于(1/3)原分数是多少．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) * 52</gadget>
<output>52/3 = around 17.333333</output>

<gadget id="calculator">(52/3) - (1/3)</gadget>
<output>17</output>

<gadget id="calculator">3 + 17</gadget>
<output>20</output>

<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">20 / (4/3)</gadget>
<output>15</output>

<gadget id="calculator">52 - 15</gadget>
<output>37</output>

<gadget id="calculator">20 / (4/3) / 37</gadget>
<output>15/37 = around 0.405405</output>

<result>15/37 = around 0.405405</result>