1, the basic concept of fraction
Molecule: a value representing a fraction, which can be an integer or a decimal.
Denominator: the unit representing the fraction, which must be greater than 0.
Fraction line: indicates the equal division relationship between numerator and denominator.
2. Fraction type
True fraction: the fraction whose numerator is smaller than the denominator, such as 1/2, 3/4, etc.
False fraction: the fraction whose numerator is greater than or equal to the denominator, such as 5/4, 7/3, etc.
Band score: a compound score consisting of an integer part and a true score, such as 2 1/2, 32/3, etc.
3, the nature of the score
Equal score: a score with the same numerator and denominator, such as 1/2=2/4.
Simplification: Simplify a fraction into the simplest operation, such as 8/ 16= 1/2.
General fraction: convert two or more fractions into the form with the same denominator, such as1/2+1/3 = 3/6+2/6 = 5/6.
4. Fraction operation
Addition: To add two or more fractions, you must divide them first.
Subtraction: To subtract one fraction from another, you need to divide the minuend and the minuend first.
Multiplication: To multiply one fraction by another, you need to multiply the numerator by the numerator and the denominator by the denominator.
Division: To divide one fraction by another, you need to multiply the reciprocal of the divisor by the dividend.
5, the relationship between fractions and decimals
Mutualization: Fractions can be converted into decimals, or decimals can be converted into fractions.
Comparison: You can compare the size of two fractions directly or convert them into decimals.
Application of scores:
1, Proportion and Proportional Relationship: Fraction can be used to express the proportional relationship between two quantities. For example, if the length of a rectangle is twice its width, the aspect ratio can be expressed by a fraction of 2/ 1.
2. Percent: Percent is obtained by dividing one number by another and then multiplying it by 100. This division operation is carried out by fractions. For example, 75% can be expressed as 75/ 100, which is 3/4.
3. Discounts and offers: When shopping, we often encounter discounts. Discounts can be expressed in fractions. For example, 20% discount is 8/ 10 of the original price, which is 0.8.
4. Percentile: Percentile is used to indicate the position of a value in a data set in the whole data set. For example, the 90th percentile means that 90% of the data in the dataset is less than or equal to this value.
5. Probability: Probability is used to indicate the possibility of an event. Probability is usually expressed as a fraction, for example, the probability of flipping a coin heads up is 1/2.