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.