The sum of the numerator and the denominator of a simplest true fraction is 2003. If 14 is added to the numerator and 17 is subtracted from the denominator, the resulting new fraction becomes (3/17) after reduction and differentiation. Find the original The simplest true fraction of .
一个最简真分数，其分子与分母之和为2003，如果把分子加上14，再把分母减去17，所得的新分数经过约分化简后，便变为(3/17)，求原来的最简真分数．
<gadget id="calculator">14 - 17</gadget>
<output>-3</output>

<gadget id="calculator">2_003 + (-3)</gadget>
<output>2_000</output>

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

<gadget id="calculator">3 / 20</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">2_000 * (3/20)</gadget>
<output>300</output>

<gadget id="calculator">300 - 14</gadget>
<output>286</output>

<gadget id="calculator">17 / 20</gadget>
<output>17/20 = around 0.85</output>

<gadget id="calculator">2_000 * (17/20)</gadget>
<output>1_700</output>

<gadget id="calculator">1_700 + 17</gadget>
<output>1_717</output>

<gadget id="calculator">286 / 1_717</gadget>
<output>286/1_717 = around 0.16657</output>

<result>286/1_717 = around 0.16657</result>