The decimal teacher said: The Mid-Autumn Festival is coming, and the students are busy eating moon cakes. Remember the math problems related to making moon cakes in those years?

Primary school edition: a moon cake is placed on the table and cut with a knife. One knife can be cut into two pieces, and two knives can be cut into four pieces at most. How many pieces can three knives cut into at most? Where are the four knives? Where are the six knives?

At that time, I will seriously cut one knife into two pieces, two knives into four pieces, and six knives into six pieces to answer questions ... I am not rude.

Middle school edition:

If we can replace empty mooncake boxes with mooncakes and four empty boxes with one mooncake, there will be 27 mooncakes now. How many mooncakes can I change at most?

Solution: 27 ÷ 4 = 6.3 For the first time, six mooncakes were replaced, and there were three empty boxes (6+3) ÷ 4 = 2. 1 for the second time, there were three empty boxes+1 empty boxes (3+) after eating mooncakes.

Example: Xiaoming and five other children participated in the Mid-Autumn Festival and won five moon cakes as rewards. Everyone talks about sharing moon cakes equally, but six children only have five moon cakes. No one can figure out how to distribute them reasonably. Son, can you help them?

Think about solving problems:

Let's calculate how much everyone should get: five moon cakes are distributed to six people on average, which means everyone can get 5/6 moon cakes. Since 5/6= 1/2+ 1/3, everyone should be given a moon cake and 1/2 and 1/3.

Next, study how to divide it: first, cut three moon cakes in half to get six and a half pieces; Then cut two moon cakes into three equal parts to get six 1/3, which is fairer.

Problem solving skills: This problem belongs to the "average score" problem of primary school mathematics. To deal with the problem of "average score", we must first know the three main points of "average score": 1, each copy should be the same; 2. When dividing things, you should know how many copies to divide; 3. Calculate by division.