1. Step-by-step narrowing method: according to the characteristics of the denominator of the numerator in a given fraction, gradually narrow the denominator until the denominator of the fraction is a prime number, which is the simplest fraction;

2. One-time simplification of the greatest common divisor: first, find the greatest common divisor of the denominator of the fraction, and directly convert the greatest common divisor into the simplest fraction;

3. Cleverly use the difference reduction method: first find the difference between the denominators of the points, and then use the difference or the factors contained in the difference to reduce the points.

Expand knowledge:

Fraction is a common operation method in mathematics, which is mainly used to simplify the form of fraction in order to calculate or compare it more conveniently. The essence of simplification is to divide the numerator and denominator by the same number or formula at the same time, so that the value of the fraction remains unchanged, but the form of the fraction becomes simpler. In reduction, it should be noted that the premise of reduction is that the numerator and denominator have common factors.

That is, there is a same factor between the two. If there is no common factor, it cannot be restored. When dividing, it is necessary to divide the numerator and denominator by their greatest common factor at the same time, so as to get the simplest form of the fraction. Pay attention to the order of symbols and operations when reducing. It is necessary to determine the signs of numerator and denominator first, and then divide them according to the order of operation.

If the numerator and denominator are divisible by negative numbers at the same time, the sign of the fraction is positive; If the numerator and denominator are divided by positive numbers at the same time, the sign of the fraction is negative. Pay attention to the rationality of reduction when doing reduction. It is necessary to divide numerator and denominator by their greatest common factor at the same time, but we should pay attention to the rationality of reduction. For example, if the numerator and denominator of a fraction are both negative.

Then they need to be divided by the absolute value of their greatest common factor at the same time, not their sign. Reduction is widely used in mathematics. For example, the addition and subtraction of fractions need to be calculated by the total score, and the essence of the total score is to subtract points. Fractions can be converted into simpler forms by simplification, which is more convenient to calculate or compare. In addition, in algebra.

In trigonometric functions and other fields, divisors are often used to simplify the form of fractions in order to facilitate calculation or reasoning. In a word, "conversion" is an important mathematical operation method, which can help us to calculate or compare scores more conveniently. In reduction, we should pay attention to the common factor of numerator and denominator.

The order of symbols and operations, the rationality of reduction and so on. By mastering the skills and methods of reduction, we can better solve the score problem in mathematics.