8 unequal fractions, the sum of each 7 of which is a positive reduced proper fraction with a denominator of 24 (a true fraction whose greatest common divisor between the numerator and the denominator is 1), then what is the sum of these 8 fractions ．
8个互不相等的分数，其中每7个的和都是分母为24的正的既约真分数(分子与分母的最大公约数是1的真分数)，那么这8个分数的和是多少．
<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">5 / 24</gadget>
<output>5/24 = around 0.208333</output>

<gadget id="calculator">7 / 24</gadget>
<output>7/24 = around 0.291667</output>

<gadget id="calculator">11 / 24</gadget>
<output>11/24 = around 0.458333</output>

<gadget id="calculator">13 / 24</gadget>
<output>13/24 = around 0.541667</output>

<gadget id="calculator">17 / 24</gadget>
<output>17/24 = around 0.708333</output>

<gadget id="calculator">19 / 24</gadget>
<output>19/24 = around 0.791667</output>

<gadget id="calculator">23 / 24</gadget>
<output>23/24 = around 0.958333</output>

<gadget id="calculator">(1/24) + (5/24) + (7/24) + (11/24) + (13/24) + (17/24) + (19/24) + (23/24)</gadget>
<output>4</output>

<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>

<result>4/7 = around 0.571429</result>