When Xiao Ming calculated the average of the four scores (3/4), (4/5), (7/9), and (9/11), he accidentally reversed the numerator and denominator of one of the scores, so that he What is the smallest difference between the calculated mean and the correct mean.
小明在计算(3/4)，(4/5)，(7/9)，(9/11)这四个分数的平均数时，不小心把其中一个分数的分子、分母颠倒了，这样他算出的平均值与正确的平均值的差最小是多少．
<gadget id="calculator">11 / 9</gadget>
<output>11/9 = around 1.222222</output>

<gadget id="calculator">9 / 11</gadget>
<output>9/11 = around 0.818182</output>

<gadget id="calculator">(11/9) - (9/11)</gadget>
<output>40/99 = around 0.40404</output>

<gadget id="calculator">(40/99) / 4</gadget>
<output>10/99 = around 0.10101</output>

<result>10/99 = around 0.10101</result>