When someone calculates the average of the four scores (4/5), (5/6), (6/7), and (7/8), he mistakenly regards one of the scores as its reciprocal, and he calculates What is the maximum difference between the average value and the correct result
某人在计算(4/5)，(5/6)，(6/7)，(7/8)这四个分数的平均值时，误将其中一个分数看成了它的倒数，他计算出的平均值与正确的结果最多相差多少
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(5/4) - (4/5)</gadget>
<output>9/20 = around 0.45</output>

<gadget id="calculator">(9/20) / 4</gadget>
<output>9/80 = around 0.1125</output>

<result>9/80 = around 0.1125</result>