How to go to the denominator is a simple teaching, and the steps of the method of removing the denom

Also multiply by the least common multiple of the denominator.

1. Find all the denominators in the equation.

2. Find the least common multiple of the denominator of the whole denominator.

3. Multiply by the least common multiple on both sides of the equal.

4. The numerator is a polynomial, and it should be enclosed in parentheses and multiplied by the remaining number after the reduction.

5. For inequalities: the denominator containing unknowns cannot be arbitrarily eliminated.

6. For algebraic formulas: the denominator can only be eliminated by reducing the fraction.

The premise of removing the denominator is to remove the denominator on the basis of ensuring that the solution of the original equation remains unchanged, so it is necessary to multiply the least common multiple of each denominator on both sides of the equation according to the property of equation 2, and then divide the denominator of each fraction with the least common multiple of the multiplied and write it in the form of parentheses.

For example: (5x+4) 3+(x+3) 4=2-(5x-5) 12 when removing the denominator, the least common multiple of the denominator 3,4,12 is 12, and multiply each item of the equation (including the term without the denominator) by 12 to get 4(5x+4)+3(3+x)=24-(5x-5).

Here (5x-5) 12 Because the least common multiple is 12, so just remove the denominator here, that is, (5x-5).

To remove the denominator, both sides of the equation are multiplied by the least common multiple of each denominator in the equation. Therefore, first of all, the least common multiple of each denominator is required. Such as:

x-1) 9+(x+2) 12=8 First, on scratch paper, find the least common multiple of : 36 Then, multiply both sides of the equation by 36 4(x-1)+3(x+2)=8 36 - note: terms without a denominator are also 36!!

Multiply both sides of the equal sign by 6 at the same time to reduce the denominator. In addition, the way to remove the denominator is to multiply both sides by the common divisor of the two denominators at the same time.

Both sides of the equation are multiplied simultaneously by the least common multiple of the denominator.

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Class: One (3) Name: Chapter: Topic: Solution of Unary Linear Equations (4).

Life is like climbing a mountain, and finding a way out is a process of learning, in which we should learn to be stable, calm, and learn how to find life from panic. - Xi Murong.

Learning Objectives: Master the method of solving equations by removing the denominator, summarize the steps of solving equations, and be able to explain their theoretical basis.

Flexibly use the general steps of solving equations to improve the ability to solve problems comprehensively

Learning Focus: Understand the meaning of denominating and master the general steps for solving unary equations.

Learning difficulties: Explore and discover the three error-prone points when removing the denominator, and be able to remove the denominator correctly and proficiently.

1. Learn and learn from time to time, not to say.

1. Solve a one-dimensional equation and state the steps and basis for solving the problem (write the steps on the horizontal line and the basis in parentheses).

3(x+1)=2(4x+3) solution:

2. Fill in the study case

5. All the following contents in the self-sublimation section (including the deparenthesed part).

3. Find the least common multiple of the following groups of numbers (how to determine the least common multiple of intra-group communication).

Common multiples: (1) 2) 3) 4).

4. The general form of a one-dimensional equation: Merge similar terms to obtain:

Multiply both sides by a (a -4) at the same time

The original formula 9a +4(a -4) = a (a -4) 9a +4a -16 = a to the 4th power -4a

A to the 4th power - 17a +16 = 0

a²-1)(a²-16)=0

a1=1a2=-1

a3=4a4=-4

The premise of removing the denominator is to remove the denominator on the basis of ensuring that the solution of the original equation remains unchanged, so it is necessary to multiply the least common multiple of each denominator on both sides of the equation according to the nature of the equation, and then divide the denominator of each fraction with the least common multiple of the multiplied by a fraction and write it in the form of parentheses.

Extended Information: How to Solve Unary Linear Equations:

There are five steps to solving a univariate equation: denominating, removing parentheses, shifting terms, merging similar terms, and converting coefficients to 1.

For example, solve the equation 3y 2-(y+2) 6-(y-2) 3=1.

Analysis: 1. Remove the denominator and multiply it by 6 on both sides of the equation to get 9y-(y+2)-2(y-2)=6. The mantra is "to remove the denominator to multiply it all, and to move the polynomial numerator forward with parentheses".

2. Remove the brackets to get 9y-y-2-2y+4=6. The mantra is "to remove the brackets should also be multiplied, be careful that it is a symbol", pay attention to the change of signs.

3. Shift the item to get 9y-y-2y=6+2-4. The mantra is "shift the term change number and don't miss the term, and the known unknown interval is equal sign".

4. Merge similar items to obtain 6y=4. The formula is "merge the same kind of terms plus the coefficient", and there is also a formula: the same kind of terms, the same kind of terms, except that the coefficients are the same; The coefficient is added at the time of merging, and the rest is written accordingly.

5. The coefficient is 1, and y=2 3 is obtained. The mantra is "Remember to make 1 coefficient", when the coefficient of the unknown number is not 1, divide the coefficient of the unknown number on both sides of the process.

The premise of removing the denominator is to remove the denominator on the basis of ensuring that the solution of the original equation remains unchanged, so it is necessary to multiply the least common multiple of each denominator on both sides of the equation according to the property of equation 2, and then divide the denominator of each fraction with the least common multiple of the multiplied and write it in the form of parentheses.

For example: (5x+4) 3+(x+3) 4=2-(5x-5) 12 when removing the denominator, the least common multiple of the denominator 3,4,12 is 12, and multiply each item of the equation (including the term without the denominator) by 12 to get 4(5x+4)+3(3+x)=24-(5x-5).

Here (5x-5) 12 Because the least common multiple is 12, so just remove the denominator here, that is, read the source of the god (5x-5).

Note the following for solving fractional equations:

1. The basic idea of solving fractional equations is to convert fractional equations into integral equations, and further solve fractional equations by solving integral equations.

2. Use the simplest common denominator in the fractional equation to multiply both sides of the blind formula, and remove the denominator from the dust key, but when you use the simplest common denominator to multiply the items on both sides of the equation, you must not miss the term.

3. Solving fractional equations may produce a situation that makes the fractional equation meaningless, so the test is a necessary step to solve the fractional equation.

Summary. For example, two-thirds plus one-quarter.

Take a picture of the title pro.

Take a picture of the title pro.

There is no question, just ask you how to go to the denominator equation.

Multiples of the denominator.

Both sides of the equation. Lcm.

I don't understand, for example.

For example, two-thirds plus one-quarter.

The least common multiple of the denominator is 12

No, I said that the denominator is removed on both sides of the equation, and there are unknowns.

No, I said that the denominator is removed on both sides of the equation, and there are unknowns.

That's right. It's the same thing.

Listen to me first.

The least common multiple of 3 and 4 is 12

Two-thirds of you 12 equals 8

Finish. I'm talking about this.

If there is an unknown, x is also multiplied by 12

Then you'll have 2 on both the left and right.

It has two fractions, and the denominator is multiplied by y, why not.

Go to the denominator. You only look at the denominator classmates.

Ask about custom messages].

Takeaway: Multiply both sides of the equation by the least common multiple of each denominator at the same time.

Take x 2=(x+2) 3 as an example.

The minimum centimeter of 2 and 3 is 6

Then multiply both sides of the equation by 6 at the same time to get 3x=2(x+2)Argument filial piety=2x+4 and merge similar terms (3-2)x=4

Answer: The solution of the original equation is x=4

Through this example, you should be careful to go to the denominator.

GoDenominatorThe steps of the method are as follows:

The premise of removing the denominator is to remove the denominator on the basis of ensuring that the solution of the original equation remains unchanged, and in order to do this, it is necessary to multiply the least common multiple of each denominator on both sides of the equation according to the nature of equation 2.

The denominator of each fraction is then divided into the least common multiple multiplied and written in parentheses.

For example: (5x+4) 3+(x+3) 4=2-(5x-5) 12 when removing the denominator, the least common multiple of the denominator 3,4,12 is 12, and multiply each item of the equation (including the term without the denominator) by 12 to get 4(5x+4)+3(3+x)=24-(5x-5).

Here is a Ling quarrel (5x-5) 12 because the least common multiple is 12, so just remove the denominator here, that is, (5x-5).

The premise of removing the denominator is to remove the denominator on the basis of ensuring that the solution of the original equation remains unchanged, so it is necessary to multiply the least common multiple of each denominator on both sides of the equation according to the property of equation 2, and then divide the denominator of each fraction with the least common multiple of the multiplied and write it in the form of parentheses.

For example: (5x+4) 3+(x+3) 4=2-(5x-5) 12 when removing the denominator, the least common multiple of the denominator 3,4,12 is 12, and multiply each item of the equation (including the term without the denominator) by 12 to get 4(5x+4)+3(3+x)=24-(5x-5).

Here (5x-5) 12 Because the least common multiple is 12, so just remove the denominator here, that is, (5x-5).