There is a question in "Nine Chapters of Arithmetic": "Today, someone holds rice to go out of three passes, one of the three passes in the outer pass, one in the fifth pass of the middle pass, one in the seven passes of the inner pass, and five buckets of rice. How about holding rice?" The meaning of the question is: someone carries rice to pass the checkpoint. When passing through the outer customs, use (1/3) of all the rice to pay taxes; when passing the middle customs, use the remaining (1/5) to pay taxes; 1/7) After paying taxes, there are still 5 buckets of rice left. How many meters did this person carry to get out of customs?
《九章算术》中有一道题："今有人持米出三关，外关三而取一，中关五而取一，内关七而取一，余米五斗．问持米几何？"题意是：有人背米过关卡，经过外关时，用全部米的(1/3)纳税，过中关时用所余的(1/5)纳税，经过内关时用再余的(1/7)纳税，最后还剩下5斗米．这个人原来背多少米出关？
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">1 - (1/7)</gadget>
<output>6/7 = around 0.857143</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">5 / (6/7) / (4/5) / (2/3)</gadget>
<output>175/16 = around 10.9375</output>

<result>175/16 = around 10.9375</result>