"Common Fractions of Fractions" PPT courseware

Description

"Common Fractions of Fractions" PPT courseware

learning target:

1. Explore and understand the meaning of common denominators and simplest common denominators of fractions through activities such as observation, analogy, and association.

2. Master the general steps for determining the simplest common denominator, and be able to use the basic properties of fractions to make common denominators of fractions.

(1) Review and Review

1. Basic properties of fractions:

If both the numerator and denominator of a fraction are multiplied (or divided) by the same integer that is not equal to 0, the value of the fraction remains unchanged.

2. What is approximation? Reducing the common factors of the numerator and denominator of a fraction without changing the value of the fraction is called reduction of the fraction.

(2) Problem Scenario

1. The common score of fractions:

What is the common denominator of a fraction?

Question: Analogy to Common Fractions of Fractions Can you convert the following fractions into fractions with the same denominator?

(1) Introduce the concept of universal fraction of a fraction:

(2) How to perform universal division of fractions?

How do you deduct several fractions with different denominators? What is the key?

(Definition:) Transforming several fractions with different denominators into a fraction with the same denominator that is equal to the original fraction is called the common fraction of the fraction.

The key is to determine the common denominators of several fractions

Usually, the product of the lowest common multiple of each denominator coefficient and the highest power of all letter factors is taken as the common denominator. Such a common denominator is called the simplest common denominator.

induction:

How to determine the simplest common denominator of several fractions:

(1) Coefficient: the least common multiple of the denominator coefficient of the fraction;

(2) Factors: All different factors appearing in each denominator must be obtained;

(3) Exponents of factors: For the same factors, take the one with the highest exponent.

Think about it for a while

1. The common denominator of a fraction is similar to the common denominator of a fraction. Only by correctly mastering the methods and steps of the common denominator of a fraction can you skillfully perform the addition and subtraction operations of subsequent fractions;

2. The key to a common denominator is to determine the simplest common denominator, including coefficients, factors and exponents of the factors; if the denominator is a polynomial, factor the factor first;

3. The basis for the general division of a fraction is the basic properties of the fraction. Each step of the deformation is highly comprehensive, so careful calculations must be made step by step;

4. Basic steps for general fractionation of fractions:

(1) Factor each denominator (without pulling it down)

(2) Find the simplest common denominator (memorize the method)

(3) According to the basic properties of fractions, multiply the numerator and denominator of each fraction by the same integer, and convert the different denominators into the simplest common denominator. (Molecular operations are important)

(1) Factor the denominator of each fraction; (2) Take the least common multiple of each denominator coefficient; (3) Take all letters or factors that appear; (4) Same letters (or formulas containing letters) ) takes the power with the largest exponent; (5) Multiply the least common multiple of the coefficients obtained above and the highest power of each letter (or factor) to get the simplest common denominator

Keywords: Teaching courseware for the universal fraction of fractions, Qingdao edition eighth grade mathematics volume PPT courseware download, eighth grade mathematics slide courseware download, download PPT courseware for the universal fraction of fractions, .PPT format;

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"Common Fractions of Fractions" PPT courseware 2:

"The Common Factor of Fractions" PPT Courseware 2 Communication and Discovery Do you still remember what the common factor of a fraction is? According to the basic properties of fractions, the process of converting fractions with different denominators into fractions with the same denominator is called the common fraction of fractions. Similarly, according to the basic properties of fractions, different...

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Update Time: 2024-11-21

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 1 industry PPT template

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