One question in the math test is to calculate the average of 4 scores ((5/3)), ((3/2)), ((13/8)), ((8/5)). The numerator and denominator of a fraction are reversed. What is the maximum difference between the average value after a wrong copy and the correct answer?
数学考试有一题是计算4个分数((5/3))，((3/2))，((13/8))，((8/5))的平均值，小明很粗心，把其中1个分数的分子和分母抄颠倒了．抄错后的平均值和正确的答案最大相差多少．
<gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>

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

<gadget id="calculator">(5/3) - (3/5)</gadget>
<output>16/15 = around 1.066667</output>

<gadget id="calculator">(16/15) / 4</gadget>
<output>4/15 = around 0.266667</output>

<result>4/15 = around 0.266667</result>