1, comprehensive score: convert scores of several different denominators into scores of the same denominator equal to the original score, which is called comprehensive score. For example, divide by 1/4 and 1/6 to get 2/ 12 and1/and then calculate.
2. Approximation: It is called approximation to change a fraction into a fraction equal to it, but with smaller numerator and denominator. For example, if you divide by 15/30, you can get 1/2.
3. Multiplication and distribution law: it means that a certain number can be multiplied by two or more numbers respectively and then added, and the formula is (a+b)×c=ac+bc. For example, (1/2+1/3 )×1/4 =1/2×1/4+1/3×1/4.
4. Multiplication and association law: refers to multiplying the first two numbers and then multiplying the third number. The formula is (ab)×c=a×(bc). For example, (1/2×1/3 )×1/4 =1/2× (1/3×1/4).
5. Multiplication method of substitution: refers to exchanging the positions of two numbers in the multiplication operation without affecting the results. The formula is a× b = b× a ... such as1/2×1/3 =1/3×1/2.
6. The law of addition and association: refers to adding the first two numbers and then adding the third number. The formula is (a+b)+c=a+(b+c). For example, (1/2+1/3)+1/4 =1/2+(1/3+1/4).
7. additive commutative law: In addition, exchanging the positions of two numbers does not affect the result, and the formula is A+B = B+A ... for example,1/2+1/3 =1/3+1/2.
The purpose of fractional mixing operation:
1. Solving practical problems: In our daily life, many problems need to be solved by fractional mixing operation. For example, you may need to assign someone to complete the task within a certain time and budget, or calculate the discount price when shopping. In these cases, we need to use fractional mixing operation to help us get the answer.
2. Fraction operation in mathematics: In mathematics, fraction is an important concept. Fractional mixing operation is a basic tool in mathematics, which is used to solve problems involving fractions, such as solving equations, performing statistical calculations, or solving geometric problems.
3. Science and engineering field: In science and engineering field, fractional mixed operation also plays a key role. For example, scientists may need to use fractional mixing operation to simulate natural phenomena, and engineers may need to use it to solve complex structural design problems. Especially when dealing with complex problems, the accuracy and efficiency of fractional mixing operation are particularly important.