Basic properties of ratio and simplifying ratio ppt

Properties of ratio: the ratio of the former and latter terms at the same time divided by the same number, 0 except 0, the ratio remains unchanged, this law is called the nature of the ratio.

The significance of the ratio: the division of two numbers is also called the ratio of two numbers ":" is the ratio sign, the ratio sign in front of the number called the ratio of the first term, the number of feet behind than the second term, than the first term divided by the second term than the result of the quotient is called the ratio of the ratio, the ratio of the value is usually expressed as a fraction, but also can be expressed in decimals or integers.

Relationship between than and fraction division: than the first term is equivalent to the divisor in the division, but also equivalent to the molecule in the fraction, than the number is equivalent to the division number is equivalent to the fraction line, than the second term is equivalent to the divisor, but also equivalent to the denominator in the fraction, than the ratio in the middle of the ratio is equivalent to the quotient in the division, but also equivalent to the fraction in the fraction of the value. (The latter term of the ratio cannot be zero)

Expanded:

The ratio is a ratio that consists of a preceding term and a following term in a division equation, except that the "÷" (the division sign) has been changed to a ":" (the ratio sign), but a division equation represents an operation, whereas a ratio represents a relationship between two numbers. Similar to the fraction line for fractions.

As an example, let's say that 6÷4 is written as 6:4 in the form of a ratio, and ":" is the ratio sign, pronounced "than". The number before the ratio sign is called the antecedent of the ratio, and the number after the sign is called the consequent of the ratio. In this case, 6 is the antecedent of the ratio and 4 is the consequent of the ratio.

When comparing ratios with divisions and fractions, the antecedent of the ratio is equivalent to the divisor, the numerator, the consequent of the ratio is equivalent to the divisor, the denominator, the ratio is equivalent to the quotient, the fraction value, and the ratio sign is equivalent to the division sign, the fraction line. The ratio is equivalent to the quotient and fraction values.

Because the divisor and denominator cannot be "0", the second term of the ratio cannot be "0". If you express the relationship between ratio, divisor, and fraction with a letter, it can be expressed as a:b = a ÷ b = a/b (b ≠ 0).