Three monkeys and three peaches write a story.

Everyone knows the origin of the idiom "chop and change". It's about a man who raised several monkeys in the Song Dynasty. One day, he suddenly felt that monkeys ate a lot, so he decided to reduce the food supply to monkeys. But he was worried that the monkeys would disagree, so he thought of a good way. He said to the monkeys, I will give you three peaches every morning and four at night. The monkey jumped up and down, very dissatisfied. Then he said, I'll give you four peaches every morning and three at night. The monkeys fell to the ground happily.

Over time, the monkeys finally discovered the skill of the Song people and began to do mischief again. Among the monkeys, the Monkey King was the first, followed by the Monkey King's wife, and finally the Monkey King's children. In order to quell the rebellion of monkeys, the people of Song Dynasty bribed only three of them with 17 peaches. Unexpectedly, the three monkeys made more trouble. It turns out that according to the internal treaty of the monkey group, the monkey king will receive 1/2 of the total amount, the queen will receive 1 /3 of the total amount, and the prince will receive 1/9 of the total amount. Monkeys are greedy, and no one wants to take less, but how to distribute this 17 peach?

The three monkeys argued endlessly, trampled on the garden and woke the neighbors, and the Song people were at a loss. A neighbor asked what happened. He went home and got a peach. He said to the three monkeys, you should share this peach, too. Song people repeatedly waved their hands, how can they spend money? The neighbors just laughed and didn't answer.

Finally, all three monkeys were allocated their own satisfactory quantities according to the treaty, and the neighbors also got their peaches back. Students, what's the mystery in this?

Answer:1/2+1/9+1/3 =17/18.

When the total number is 17, each monkey can't get an integer number of peaches. Once the peach is destroyed, it can't be distributed in a draw, which is the cause of the dispute. Finally, there should be1-[(17 *17)/18] peaches left, not an integer. This broken peach is not an integer.

When the total number is 18, each monkey is assigned an integer number of peaches, and the remaining one is also owned by the owner.

In fact, the problem is that the monkeys share too many peaches according to Billy's request, and the Song people are going to give all 17 peaches to each other. The total number of peaches has changed from 17 to 18, and the number of peaches shared by each monkey has actually increased, but this is still within the scope of the efforts of the Song people, so both sides have no opinions.