1, the definition of score
Fractions are composed of numerator and denominator in numerator/denominator form. Among them, the numerator represents the number of parts and the denominator represents the number of copies of the whole. For example, in a score of 3/4, 3 represents the number of parts and 4 represents the number of copies of the whole.
2. Fraction type
According to the relationship between numerator and denominator, fractions can be divided into three categories: true fractions, false fractions and fractions. The numerator of a true fraction is smaller than the denominator, such as 1/2, 2/3, etc. This score represents the part with a small sample. The numerator of the false fraction is greater than or equal to the denominator, such as 3/2, 4/3, etc. This score indicates that a large number of samples have been taken.
Fractions consisting of integers and true fractions, such as 1 and1/2,2 and 3/4. This score means that many parts of the sample are combined into an integer.
3, the nature of the score
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 the same. This is called the basic nature of fractions. For example, 3/4 numerator and denominator are multiplied by 2 to get 6/8, or numerator and denominator are divided by 2 to get 1.5/2, and their sizes are the same.
In fractions with non-zero units, when the denominator is less than 1, it means that there are few samples; When the denominator is greater than 1, it means that many samples are taken. For example, in the score of 1/2, the denominator is less than 1, indicating the part with few samples; In the score of 3/2, the denominator is greater than 1, indicating the part with more samples.
Fractions can also be expressed by division formula: for example, half equals 2 divided by 1 and so on. This shows that there is a close relationship between fraction and division. In fact, fraction can be regarded as a special form of division.
4. Application of scores
Fractions are widely used in mathematics and real life. For example, in mathematics, fractions are used to solve various problems, such as proportions and percentages. In daily life, we often use scores to express the relationship between parts and the whole, such as food distribution and work distribution.
In a word, fraction is an important mathematical concept, which is widely used in mathematics and real life. Understanding the concept and nature of fractions is of great significance for solving various problems.