In a fraction, the sum of the numerator and denominator is 30. If 3 is added to the numerator and (1/3) is added to the denominator, the resulting new fraction is (1/3), what is the original fraction?
一个分数，分子与分母之和是30．如果分子加上3，分母加上(1/3)，得到的新分数约分后是(1/3)，原来的分数是多少？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) * 30</gadget>
<output>10</output>

<gadget id="calculator">(1/3) * 31</gadget>
<output>31/3 = around 10.333333</output>

<gadget id="calculator">(31/3) - 3</gadget>
<output>22/3 = around 7.333333</output>

<gadget id="calculator">10 + (22/3)</gadget>
<output>52/3 = around 17.333333</output>

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

<gadget id="calculator">(52/3) / (4/3) / 17</gadget>
<output>13/17 = around 0.764706</output>

<result>13/17 = around 0.764706</result>