For a fraction, the sum of the numerator and the denominator is 100. If 23 is added to the numerator and 32 is added to the denominator, the new fraction will be (2/3) after division. What is the original fraction?
一个分数，分子与分母的和是100，如果分子加上23，分母加上32，新的分数约分后是(2/3)，原来的分数是多少？
<gadget id="calculator">100 + 23 + 32</gadget>
<output>155</output>

<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">155 * (2/5)</gadget>
<output>62</output>

<gadget id="calculator">62 - 23</gadget>
<output>39</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">155 * (3/5)</gadget>
<output>93</output>

<gadget id="calculator">93 - 32</gadget>
<output>61</output>

<gadget id="calculator">39 / 61</gadget>
<output>39/61 = around 0.639344</output>

<result>39/61 = around 0.639344</result>