Extended data:

The concept of fraction

The numerator and denominator of a fraction are multiplied or divided by the same number (except 0) at the same time, and the size of the fraction remains unchanged, which is called the basic property of the fraction. According to the relationship between fraction and division, the basic property of fraction is similar to quotient invariance. For example,15/20 = (15× 2)/(20× 2) = (15 ÷ 5)/(20 ÷ 5) = 3/4,15 ÷.

use

The basic nature of fraction is the theoretical basis of reduction and general fraction.

1, generally divided into

According to the basic properties of fractions, the process of changing several fractions with different denominators into fractions with the same denominator equal to the original fraction is called general fraction. Using general scores can solve the problems of score size comparison and score addition and subtraction calculation. For example, compare the sizes of 7/9 and 8/ 1 1. 7/9 = 77/99, 8/11= 72/99. From 77/99 > 72/99, 7/9 > 8/1.

2. About integration

Simplification is to divide the numerator and denominator of a fraction by the common factor at the same time, and the value of the fraction remains unchanged. This process is called reduction. Reduction is based on the basic properties of fractions. If we can quickly analyze the greatest common divisor of numerator and denominator, it will be easier to divide directly with this greatest common divisor.

Fractions can be simplified by reduction; When direct reduction is difficult, the numerator denominator can be decomposed into prime factors and then reduced. The prime factor of factorization is that each composite number can be multiplied by several prime numbers. Every prime number is a factor of this composite number, which is called the prime factor of this composite number.

Fraction means that one number is a fraction of another. Divide the unit "1" into several parts on average, and the number representing such a part or parts is called a fraction. The numerator is above and the denominator is below. The basic property of a fraction is that the numerator and denominator of the fraction are multiplied or divided by the same number at the same time (except 0), and the size of the fraction remains unchanged.

A fraction is a rational number expressed as a/b (where a and b are integers and b is not equal to 0, for example, 1/2). In the above formula, b is called denominator and a is called numerator, which can be regarded as dividing something into b parts, accounting for one part, and reading it as "a part of b" The middle line is called dividing line or fractional line. Sometimes people use a/b to express scores.

The concept of fraction is very similar to division and proportion. Fraction is a numerical value, division pays more attention to calculation, and proportion pays more attention to the comparison between two things. If both a and b are integers, except for the calculation of the remainder, the result of division and fraction is the same.