"Basic Properties of Fractions" PPT Courseware 3

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"Basic Properties of Fractions" PPT Courseware 3

review:

When x takes on what value, the following fractions make sense?

(1)1/x-2;(2)2/2x+1

Solution: (1)∵x-2≠0, that is, when x≠2, the fraction 1/x-2 is meaningful.

(2)∵2x+1≠0, that is, when x≠-1/2, the fraction 2/2x+1 is meaningful.

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, and the value of the fraction remains unchanged.

judge

Can each of the following component formulas be transformed from the left to the right?

(1)a/a-b and a(a+b)/a-b

(2)x/2y and x(x2+1)/3y(x2-1)

(3)x/y and xa/ya

(4)xy/x2 and y/x

Reflection: What should we pay attention to when using the basic properties of fractions?

(1) "Both" (2) "Same" (3) "Not 0"

Approximate points:

Reducing the common factors of the numerator and denominator of a fraction is called the reduction of a fraction.

Question: What is the basis for fractional reduction? P3 problem

Answer: Basic properties of fractions

Discuss

(1) Find the simplest common denominator of the fractions 1/2x3y2z, 1/4x2y3, and 1/6xy4.

Analysis: For the coefficients 2, 4, and 6 in the denominators of the three fractions, take their least common multiple of 12; for the letters in the denominators of the three fractions, if the letter x is a factor of the power of the base, take its highest power x³ , the factor of the power whose base is the letter y, take its highest power y4, and then take the letter z. So the common denominator of the three fractions is 12x³y4z.

summary:

1. Basic properties of fractions

If both the numerator and denominator of a fraction are multiplied (or divided) by the same non-zero integer, the value of the fraction remains unchanged.

The public announcement is expressed as:

A/B=A×M/B×M，A/B=A÷M/B÷M

2. Reduction of fractions and simplest fractions

Reduction of a fraction: Reducing the common factors of the numerator and denominator of a fraction is called the reduction of a fraction.

Simplest fraction: A fraction whose numerator and denominator have no common factors is called the simplest fraction.

(When simplifying a fraction, it is usually necessary to make the result the simplest fraction or integer)

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"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...

"Basic Properties of Fractions" PPT courseware:

"Basic Properties of Fractions" PPT courseware. Please read the situational navigation and P52 in Chapter 3 of the textbook, and then find out what is a fraction? Ask your classmates to answer after 3 minutes. Through the reading just now, we have calculated the following algebraic formula: If A and B are both integers, we can put AB..

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Update Time: 2024-09-07

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

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