The property that the quotient is invariant is that the dividend and divisor are multiplied or divided by a number (except zero), and the quotient is invariant.

Letter expression: a/b=(a*n)/(b*n)=(a/n)/(b/n).

For example:

30÷6=5, and the quotient of 30 divided by 6 is 5.

120÷24=5. If 30 is quadrupled to 120, and 6 is quadrupled to 24, the quotient is still 5.

Extended data:

Properties of division operation

(1) If a number is divided by (or multiplied by) a number and then multiplied by (or divided by) the same number, the number remains the same.

For example: 68÷ 17× 17=68 (or 68× 17÷ 17=68).

(2) A number divided by the product of several numbers can be divided by the factors in the product in turn.

For example: 320÷(2×5×8)=320÷2÷5÷8=4.

(3) The quotient of a number divided by two numbers is equal to the number divided by the divisor in the quotient and then multiplied by the divisor in the quotient.

For example: 56÷(8÷4)=56÷8×4=28.

Multiplication:

(1) Multiplication commutation law: A * B = B * A

(2) the law of multiplicative association: a*b*c=(a*b)*c=a*(b*c)

(3) Multiplication and distribution law: (a+b) * c = a * c+b * c; (a-b)*c=a*c-b*c