The ancient Chinese scientist Zu Chongzhi accurately calculated the value of pi between 3.1415926 and 3,1415927 as early as 1500 years ago, and gave two approximate values of pi with fractions: approximate ratio (22/7) and density ratio (355 /113). Among fractions with a denominator of less than four digits, (355/113) is the number closest to π. Please find the closest fraction to ((π)/4) whose denominator is less than 20. What is this fraction?
我国古代科学家祖冲之早在1500年前就精确地推算出圆周率π的值在3.1415926和3，1415927之间，并用分数给出了π的两个近似值：约率(22/7)和密率(355/113)．在分母是四位数以下的分数中，(355/113)是最接近π的数．请你找出与((π)/4)最接近的分母小于20的分数，这个分数是多少．
<gadget id="calculator">22 / 7</gadget>
<output>22/7 = around 3.142857</output>

<gadget id="calculator">(22/7) / 4</gadget>
<output>11/14 = around 0.785714</output>

<result>11/14 = around 0.785714</result>