Divider and divisor are multiplied or divided by the same number (except 0) at the same time, and their quotient remains unchanged. The basic nature of a fraction: the numerator and denominator of the fraction are multiplied or divided by the same number at the same time (except 0), and the size of the fraction remains unchanged. The ratio is the same: two compared figures are expanded or reduced by the same factor, and the ratio remains the same.

Alphabetic formula: a ÷ b = (an) ÷ (bn) = (a ÷ n) ÷ (b ÷ n) (n ≠ 0b ≠ 0).

For example: 80÷ 125

=(80×8)÷( 125×8)

=640÷ 1000

=0.64

Extended data:

The change law of quotient invariance is the content of operation law and simple operation, which is related to:

1, and the addition operation is divided into: additive commutative law and addition associative law.

2. Multiplication operations are divided into multiplicative commutative law, multiplicative associative law and multiplicative distributive law.

3. The essence of subtraction: the difference is constant.

4. The nature of decimal operation

Baidu Encyclopedia-Operating Rules and Simple Operations