"Basic Properties of Fractions" Fraction PPT

Description

"Basic Properties of Fractions" Fraction PPT

Part One: Learning Objectives

1. Understand and master the basic properties of fractions (key points)

2. Be able to use the basic properties of fractions to reduce and generalize fractions. (difficulty)

PPT on the basic properties of fractions, part 2: introducing new lessons

Situation introduction

1.Are the values ​​of the following fractions equal?

2. What is the basis for these fractions to be equal?

When the numerator and denominator of a fraction are simultaneously multiplied (or divided) by a number that is not equal to zero, the value of the fraction remains unchanged.

PPT on the basic properties of fractions, part 3: teaching new lessons

Basic properties of fractions

Think about it: By analogy with the basic properties of fractions, can you guess what properties fractions have?

Basic properties of fractions: If 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.

reduction of fractions

Think about it:

Think about the reduction of fractions. From Example 1, can you figure out how to reduce fractions?

Similar to fraction reduction, the key is to find the simplest common denominator of the numerator and denominator of the fraction

Knowledge points

Definition of reduction

Like this, according to the basic properties of fractions, reducing the common factors of the numerator and denominator of a fraction is called the reduction of a fraction. After reduction, the numerator and denominator of the fraction have no common factors.

An expression like this where the numerator and denominator have no common factors is called the simplest fraction

To reduce a fraction, it is generally necessary to remove all common factors in the numerator and denominator, so that the result becomes the simplest fraction or integer.

Basic steps of reduction

(1) If the numerator and denominator are both monomials, round off the greatest common divisor of the coefficients and round off the lowest power with the same letter

(2) If the numerator and denominator contain polynomials, first factor the polynomial, and then eliminate all common factors of the numerator and denominator

Precautions:

The values ​​of the fractions before and after the reduction must be equal

The key to reduction is to determine the common factors of the numerator and denominator of the fraction

Reduction is performed on the whole numerator and denominator, that is, the whole numerator and the whole denominator are divided by the same factor.

PPT on the basic properties of fractions, part 4: practice in class

Which of the following formulas is the simplest fraction ( )

If both x and y of the fraction x/x+y are expanded twice, then the value of the fraction

Expand by two times No change Reduce by two times Reduce by four times

PPT on the basic properties of fractions, part 5: Class summary

The basis for reduction and general division of fractions

Basics of fractional operations

Notice

(1) The numerator and denominator are performed simultaneously;

(2) The numerator and denominator can only be multiplied or divided together, but cannot be added or subtracted together;

(3) The numerator and denominator can only be multiplied or divided by the same integer.

(4) The division formula is an integer not equal to zero

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For more information about the PPT courseware "Basic Properties of Fractions and Fractions", please click on the Basic Properties of Fractions PPT PPT tab.

"Basic Properties of Fractions" Fraction PPT courseware:

"Basic Properties of Fractions" Fraction PPT Courseware Part One: Knowledge Review Determine whether the following deformations from left to right are correct and explain the reasons. The basic properties of fractions: The numerator and denominator of a fraction are multiplied (or divided) by the same number that is not equal to zero at the same time, and the fraction...

"Basic Properties of Fractions" PPT Courseware 3:

"Basic Properties of Fractions" PPT Courseware 3 Review: When x takes what value, the following fractions are meaningful? (1)1/x-2; (2)2/2x+1 Solution: (1)∵x-20, that is, when x2, the fraction 1/x-2 is meaningful. (2)∵2x+10, that is, when x-1/2, the fraction 2/2x+1 is meaningful. ..

"Basic Properties of Fractions" PPT Courseware 2:

"Basic Properties of Fractions" PPT Courseware 2 Review and Thoughts 1. What is the basis for 3/6=1/2? According to the basic properties of fractions, it is obtained by dividing the numerator and denominator of 3/6 by 3; 2. What are the basic properties of fractions? Multiply both the numerator and denominator of the fraction by...

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Update Time: 2024-11-20

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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