1, ratio: ratio.

2. Simplify the ratio: turn a ratio into the simplest integer ratio (the former and the latter are prime numbers). Second, according to:

1, ratio: according to the meaning of ratio (the division of two numbers is also called the ratio of two numbers), divide the former term of ratio by the latter term of ratio. 2. Simplified ratio: According to the basic nature of the ratio (the first and second items of the ratio are multiplied or divided by the same number at the same time (divided by 0).

), the ratio is constant), and the two terms before and after the ratio are multiplied or divided by the same number that is not 0 at the same time, so that the two terms before and after the ratio become prime numbers.

Third, the method:

1. Find the ratio: divide the former term of the ratio by the latter term, and decimal the number of components to be calculated, and the result is best expressed in fractions. 2. Simplify the proportion: (There are four main situations, as follows)

Simplification of (1) integer ratio (both front and back terms are integers): divide the front and back terms of the ratio by their greatest common factor at the same time (it is not necessary to use the greatest common factor, as long as it is a common factor, but it is troublesome to do it in one step). For example, 240: 720 is an integer ratio, and the greatest common factor of the front and rear terms is (), so the front and rear terms are divided by () at the same time.

(240÷ ) : (720÷ )=( ):( )

(2) Simplification of fractional ratio (both front and back terms are fractions): multiply the latter term of the ratio by the least common multiple of its denominator at the same time, and narrow the denominator to become an integer ratio. If the integer ratio is not the simplest ratio, it should be simplified according to the simplification method of integer ratio.

Such as: 15

2

：

278

Is the fractional ratio, and the lowest common multiple of denominator 15 and 27 is ().

, before and after the term multiplied by () at the same time, become an integer ratio.

( 152

× ):(278× )=( ):( )

Integer comparison (): () is not a ratio, there is the greatest common factor () before and after the item, and then it is simplified according to the integer ratio.

Find the simplest ratio (): ()

(3) Decimal ratio simplification: Multiply the front and back terms of the ratio by the same number (generally 10, 100 ... or the number that can multiply the decimal part by an integer 10) into an integer ratio, and then simplify it into the simplest integer ratio by the method of integer ratio simplification.

For example, 2.4: 3.7 is the fraction ratio, the former item can be converted into an integer by multiplying it by 5, and the latter item can be converted into an integer by multiplying it by 10, so the former item and the latter item are always multiplied by ():

2.4 : 3.7=(2.4× ): (3.7× )=( ):( )

The obtained integer ratio (): () is not the simplest ratio, and then the integer ratio is simplified to the simplest ratio (): ().

(4) Simplification of mixing ratio (the front and back terms of the ratio are a mixture of integers, decimals and fractions): The above three methods should be used flexibly.

Such as: 25: 3.2 24: 152

152 : 3.4