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General Score Definition. The process of converting several fractions with different denominators into fractions with the same size and denominator as the original fractions is a universal fraction.

The key to all points. The key to the general division is to determine the simplest common denominator of several fractions, and the steps are as follows:

1.Decompose the denominator of each fraction into factors;

2.take the least common multiple of each denominator coefficient;

3.All the factors that appear in the letter or the factor containing the letter as the base power are to be taken;

4.The factor of the power of the same letter or the factor containing the letter takes the exponent as the largest;

5.Multiply all the above formulas to get the simplest common denominator;

Step-by-step. 1.First, find the simplest common denominator of the denominator of the original fractions (formulas);

2.According to the basic properties of fractions (formulas), the original fractions (formulas) are transformed into fractions (formulas) with the simplest common denominator as the denominator.

General score basis. Both the general and the approximate are based on the basic properties of fractions (formulas).

The numerator and denominator of the fraction (formula) are multiplied or divided by a number (formula) that is not equal to zero, and the size of the fraction (formula) remains unchanged. The denominator does not change, and the numerator and denominator of the other side are cross-multiplied.

Example explanations. Scores: 1 3 and 1 4

Solution: The least common multiple of 3 and 4 is 12

The general score is 4 12 and 3 12

Compare the sizes of 7 9 and 8 11.

Solution: 7 9 = 7 11 9 11 = 77 99 <>

Fractional. It is divided into several fractions (see the figure on the right).

Answer: First, the connotation of the general score.

According to the basic properties of fractions, the process of converting several fractions (formulas) with different denominators into fractions (formulas) with the same denominator (formula) that are equal to the original fractions (formulas) is called general fractions.

Second, the steps of the general division.

The key to the general division is to determine the simplest common denominator of several fractions, and the steps are as follows:

1. List the divisors of each denominator separately;

2. Multiply the divisor of each denominator, if there is a common divisor, multiply it only once, and the result obtained is the least common multiple of each denominator;

3. All the factors that appear in the letters or the power of the factors containing the letters should be taken;

4. The factor of the power of the same letter or the factor containing the letter takes the exponent as the largest;

5. Multiply all the above formulas to get the simplest common denominator.

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The joints are red, swollen, hot, painful, and even affect movement.

It can occur at all ages, with men being more susceptible to gout.

It is a disease that requires long-term management.

1. General score. It is the process of dividing several different denominators into fractions with the same denominator equal to the value of the original fraction according to the basic properties of fractions, which is called a common fraction.

2. For example: 1 6 + 1 4, find the least common multiple of 6 and 4.

12,1 6=1*2 6*2=2 12,1 4=1*3 4*3=3 12, so the above addition is: key hidden 2 manuscript laughing hall 12 + 3 12 = 5 12.

3. General division steps: first find the simplest common denominator of the denominator of the original fractions (formulas).

According to the basic properties of fractions (formulas), the original fractions (formulas) are transformed into fractions with the simplest common denominator as the denominator.

According to the basic properties of fractions, the division of several different denominators is divided.

The fraction that is divided into the same denominator as the original fraction is called the general fraction of the fraction.

Dividing fractions with different denominators into fractions with the same denominator that are equal to the original fractions is called a common fraction.

The ratio of the number A to the number B and the two different ratios of the number B to the number C into the ratio of A to the ratio of B to C is also called a general score.

General Score Definition.

Basic Definition 1:

According to the basic nature of fractions, the fractions of several different denominators are converted into fractions equal to the original fractions and with the same denominator, which is called a common fraction.

Basic Definition II:

The ratio of the number A to the number B and the ratio of the number B to the number C, these two different ratios, into the ratio of A to B and C, is also called a general score.

Scoring method. 1.Find the least common multiple of the denominator of the original fractions.

2.According to the basic nature of fractions, the original fraction is converted into a fraction with this least common multiple as the denominator.

Scores: 1 3 and 1 4

Solution: The least common multiple of 3 and 4 is 12

The general score is 4 12 and 3 12

Compare the sizes of 7 9 and 8 11.

Solution: 7 9 = 7 11 9 11 = 77 998 11 = 8 9 11 9 = 72 99 77 99 > 72 99

A: B = 2:5 = 8:20

B: C = 4:7 = 20:35

A: B: C = 8:20:35

According to the basic nature of fractions, the fractions of several different denominators are converted into fractions that are equal to the original but have the same denominator, which is called a common fraction.

The process of dividing fractions with different denominators into fractions with the same denominator as the original fractions is called a common fraction.

The two fractions with different denominators are transformed into fractions of the same denominator as large as the original fractions with the basic properties of fractions.

The operation of transforming several fractions into fractions with the same denominator but equal to the original fractions is called a common fraction.

In the process of general division, any common times of each denominator (except zero) can be used as the common denominator; But for the convenience of calculation, usually use the least common multiple of each denominator as the common denominator, divide the least common multiple of each denominator by the denominator of each denominator, and the quotient of the obtained bridge state is called the complement factor of each denominator respectively, and multiply the numerator and denominator of each fraction by the complement factor of its denominator, and the obtained fraction has the same denominator, and according to the basic nature of the fraction, they are equal to the original fraction.

For example, divide 5 12, 7 9, 1 6 passes.

Then the complement factor of the denominator of the minimum multiple [12,9,6]=36, 5 12,7 9,1 6 is , and the complement factor of the denominator of each fraction is multiplied by the numerator and denominator of each fraction respectively

This results in a fraction with the same denominator.

A common fraction is when several fractions with different denominators are added or subtracted. They need to be changed to the same denominator. Brother Zen trembled, so that he could add and subtract to congratulate the defeat. To find the least common multiple of these denominators, that is their common denominator.

According to the basic properties of fractions, the process of converting several fractions (formulas) with different denominators into fractions (formulas) with the same denominator (formula) that are equal to the original fractions (formulas) is called general fractions.

The key to the general division is to determine the simplest common denominator of several fractions, and the steps are as follows:

1. List the divisors of each denominator separately;

2. Multiply the divisor of each denominator, if there is a common divisor, multiply it only once, and the result obtained is the least common multiple of each denominator;

3. All the factors that appear in the letters or the power of the factors containing the letters should be taken;

4. The factor of the power of the same letter or the factor containing the letter takes the exponent as the largest;

5. Multiply all the above formulas to get the simplest common denominator.

The importance of learning math well

1. Mathematics is a discipline that studies the relationship between the spatial position and quantity of the objective world.

Through the analysis of the objective world, it establishes a mathematical model, solves the mathematical model with mathematical methods, and then physically explains the obtained results, so as to put forward reasonable suggestions for practical problems. Both professional courses and professional foundation courses use mathematics to analyze and study problems in the professional field.

Therefore, it is more difficult to build a mathematical model, especially to solve the model with mathematical knowledge, which can be seen that mathematics is the most solid foundation for professional basic learning.

The quantitative results involved in the professional course can be interpreted qualitatively, and the quantitative problems can be stereotyped, and the mathematical problems can be graphically graphed to make abstract and quantitative problems popular, so as to turn the difficult into easy, and the abstract into concrete to bring convenience to solving the problem.

2. Mathematics can enable people to see the essence through appearance, so mathematics is wisdom.

The process of doing math problems is a simplification under the same amount of change, and each step should be simplified and one step closer to the conclusion. If you do one step and it is not simplified or becomes difficult, it means that the method is wrong or violates the law of equal transformation. It can be seen that every step of doing a math problem is changing, but the essence remains the same, and making the final result is like seeing the essence through layers of appearances.

As long as you can see the essence through the appearance, then you can see the problem and do things in one step, and achieve twice the result with half the effort. The reason why different people do the same thing and get different results is mainly because of different personal insights. Therefore, mathematics can give people the ability to see the essence through appearances, and with this ability, wisdom can be produced.

Therefore, mathematics is the science of wisdom.

The fraction of several wax liquor with different denominators is converted into a fraction equal to the original fraction and the same denominator, which is called a general fraction.

For example, 1 3 and 1 4 are divided

The least common multiple of 3 and 4 is 12

Then the general score results are 4 12 and 3 12

According to the basic properties of fractions (formulas), Shiqin converts several fractions (formulas) with different denominators into fractions (formulas) with the same denominator (formulas) that are equal to the original fractions (formulas).

According to the basic properties of fractions, the process of converting several fractions (formulas) with different denominators into fractions (formulas) with the same denominator (formulas) that are equal to the original fractions (formulas) is called universal fractions. Both the general fraction and the reduction are based on the basic properties of fractions: the numerator and denominator of fractions are multiplied or divided by a number that is not equal to zero, and the magnitude of fractions remains unchanged.

The denominator remains unchanged, and the numerator and denominator of the other party are cross-searched and multiplied.

The key to the common score is to convert the different denominator fraction into the same denominator fraction.

Example: Compare: 7 9 and 8 11 sizes.

Solution: 7 9 = 7 11 9 11 = 77 99 <>

A: B = 2:5 = 8:20 B: C = 4: 7 = 20:35 A: B: C = 8:20:35

Significance: Turning a fraction into a fraction that is equal to it, but the numerator and denominator are relatively small, is called a fraction. Simplest fraction: The fraction whose numerator and denominator are coprime numbers is called the simplest fraction.

<> is the process of converting several fractions (formulas) with different denominators into fractions (formulas) with the same denominator equal to the original fractions (formulas) according to the basic properties of fractions (formulas), which is called general fractions.

The key to the general division is to determine the simplest common denominator of several fractions, and the steps are as follows: Xi Zheng 1, list the divisors of each denominator respectively:

2. Multiply the divisor of each denominator, if there is a common divisor, multiply it only once, and the result obtained is the least common multiple of each denominator;

3. All the factors that appear in the letters or the power of the factors containing the letters should be taken;

4. The factor of the power of the same letter or the factor containing the letter takes the exponent as the largest;

5. Multiply all the above formulas to get the simplest common denominator. Hidden Wild.