A group of monkeys ate a bunch of peaches, all (1/9) on the first day, the rest (1/8) on the second day, and the rest (1/7) on the third day... I ate the rest (1/2) on the seventh day for eight days, and 1 piece on the ninth day, which was just finished. How many peaches are there in this pile?
一群猴子吃一堆桃子，第一天吃了全部的(1/9)，第二天吃了余下的(1/8)，第三天吃了第二天余下的(1/7)…第八天吃了第七天余下的(1/2)，第九天吃了1个，正好吃完．这堆桃子原有多少个．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>

<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>

<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>

<gadget id="calculator">1 / (1/2) / (2/3) / (3/4) / (4/5) / (5/6) / (6/7) / (7/8) / (8/9)</gadget>
<output>9</output>

<result>9</result>