A monkey eats the peaches in the basket, eats (1/3) on the first day, eats the rest (1/3) on the second day, and eats (1/4) of the existing peaches in the basket on the third day On the fourth day, he ate 1/3 of the existing peaches, and finally there were 6 peaches left in the basket. How many original peaches were in the basket?
一只猴子吃篮子里的桃子，第一天吃了(1/3)，第二天吃了剩下的(1/3)，第三天吃了篮子里现有桃子的(1/4)，第四天又吃了现有桃子的(1/3)，最后篮子里还剩下6个桃子，问篮子里原有桃子多少个？
<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">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">6 / (2/3) / (3/4) / (2/3) / (2/3)</gadget>
<output>27</output>

<result>27</result>