Simplification ratio is to remove the common multiple of * * * from the numbers on both sides to make it the simplest, which is used to solve some simple practical problems.
The basis of simplifying the ratio is based on the basic properties of the ratio, that is, the front and rear terms of the ratio are multiplied by a number or divided by a number (except 0) at the same time, the ratio is unchanged, and the front and rear terms are integers and prime numbers. Prime number is a concept in mathematics, that is, the common factor of two or more integers is only 1. Two nonzero natural numbers whose common factor is only 1 are called coprime numbers.
Prime numbers have the following theorems:
Two nonzero natural numbers whose common factor is only 1 are called prime numbers; For example: 2 and 3, the common factor is only 1, which is a prime number.
2. Some positive integers whose greatest common factor is only 1 are called prime numbers.
3. Two different prime numbers are coprime numbers.
4. 1 is coprime with any natural number. Two different prime numbers are coprime. A prime number and a composite number are coprime when they are not multiples. The coprime of two complex numbers without the same prime factor.
5. Any two adjacent numbers are coprime.
6. The probability that two positive integers are coprime (the greatest common divisor is 1) is 6/π 2.
Simplification of ratio:
"Comparison Simplification" is a micro-course provided by changpo town Central Primary School, and the speaker is Li Xiaohong.
Course Description: Micro-class first introduces students to what is the simplest integer ratio, so that students can clearly understand what ratio the simplified ratio should be converted into, thus laying the foundation for the later simplified ratio. After the lecture, students can show four ratios in time to judge whether they are the simplest ratios or not, and carefully design a fraction form to lay the foundation for simplifying the ratio results later.
Then, with the relaxed and happy tone and the simplified method introduced by the students, the comparison is divided into three types, each of which is different, and the students are told the tricks of solving problems. Finally, design three exercises to consolidate and deepen understanding in time.
Design idea: let students learn through micro-video, so that they can easily, happily and correctly master the simplified comparison method and skillfully use it.
In terms of emotional attitude, students need to be interested in learning knowledge through micro-video, actively participate in teaching activities, and master language skills through micro-video learning; According to your own knowledge and actual needs, take advantage of video learning, watch and solve your own difficult problems repeatedly, actively participate in practical projects in video teaching, and consolidate and apply what you have learned.