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 is divided into (2/3), 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，新的分数约分后为(2/3)，则原来的分数是多少．
<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>