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Problem solving skills of fractional division in the first volume of the sixth grade
The problem-solving skills of fractional division in the first volume of the sixth grade are to understand the meaning of fractional division, determine the types of questions, find out the key information, establish a mathematical model, calculate and integrate the answers.

1, understand the meaning of fractional division

Fractional division is the inverse operation of fractional multiplication, which represents the fraction of a known number. Find out what this number is. For example, suppose 3/4 of a number is 12, and we need to find out what this number is.

2. Determine the type of problem

Fractional division can be roughly divided into two types: unit conversion problem and fractional rate problem. Unit conversion usually involves converting one unit into another, such as converting kilometers into meters and tons into kilograms. The problem of score is about the relationship between two quantities, such as the relationship between part and whole, and compare the relationship between two quantities.

3. Find out the key information

When solving the problem of fractional division, we should find out the key information in the topic. For example, for the problem of unit conversion, it is necessary to find out the conversion ratio and unit name; In the problem of fractions, we should find out the numerator and denominator of fractions.

4. Establish a mathematical model

Establishing a mathematical model based on key information is a key step to solve the problem. On the issue of unit conversion, we can use the formula: new unit = original unit x conversion ratio; In the score problem, we can use the formula: part = whole x score.

5. Perform calculations

After establishing the mathematical model, we can do the calculation. When calculating, we should pay attention to using correct operation symbols and brackets to represent the mathematical model.

Step 6 integrate answers

The last step is to integrate the answers. When integrating the answers, we should pay attention to expressing the calculation results in clear and concise language. At the same time, we should also pay attention to checking whether the answers meet the actual situation and the requirements of the topic.

Application of fractional division and transformation thought

Application of 1 and fractional division in real life

Fractional division can not only solve mathematical problems, but also be widely used in real life. Fractional division is often used to solve problems in engineering, medicine, economics and other fields. Therefore, learning fractional division to solve problems will not only help to better understand mathematical concepts, but also improve practical application ability.

2. The application of transformation idea in fractional division.

The thought of conversion is a very important mathematical thought, which can transform complex problems into simple ones to solve. In fractional division, we can use the idea of transformation to convert division into multiplication, thus simplifying the calculation process. You can convert a/b = c/d into a = c/d x b or b = a/c x d, so that division is converted into multiplication, and calculation is easier.