The sum of the numerator and denominator of a fraction is 100. Add 32 to the numerator and 23 to the denominator. The new fraction is divided into (2/3). What is the original fraction?
分数的分子和分母的和是100，将分子加上32，分母加上23，新的分数约分后是(2/3)，原来的分数是多少？
<gadget id="calculator">100 + 32 + 23</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 - 32</gadget>
<output>30</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 - 23</gadget>
<output>70</output>

<gadget id="calculator">30 / 70</gadget>
<output>3/7 = around 0.428571</output>

<result>3/7 = around 0.428571</result>