The sum of the numerator and denominator of a fraction is 23. After the denominator is increased by 19, a new fraction is obtained. After the month, it is (1/6). What is the original fraction?
一个分数的分子，分母的和是23，分母增加19后，得到一个新分数，月份后为(1/6)，原分数是多少．
<gadget id="calculator">23 + 19</gadget>
<output>42</output>

<gadget id="calculator">1 + 6</gadget>
<output>7</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">42 * (1/7)</gadget>
<output>6</output>

<gadget id="calculator">(1/7) / 7</gadget>
<output>1/49 = around 0.020408</output>

<gadget id="calculator">42 * (1/49)</gadget>
<output>6/7 = around 0.857143</output>

<gadget id="calculator">42 * (6/7)</gadget>
<output>36</output>

<gadget id="calculator">36 - 19</gadget>
<output>17</output>

<gadget id="calculator">(1/7) / 17</gadget>
<output>1/119 = around 0.008403</output>

<gadget id="calculator">42 * (1/119)</gadget>
<output>6/17 = around 0.352941</output>

<result>6/17 = around 0.352941</result>