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Methods of finding ratio and simplifying ratio
Find the ratio and simplify the ratio:

The method of finding the ratio: divide the former term of the ratio by the latter term, and the result is that a numerical value can be an integer, a decimal or a fraction.

According to the basic properties of the ratio, the ratio can be reduced to the simplest integer ratio. Its result must be the simplest ratio, that is, the first term and the last term are prime numbers.

1, integer ratio: both the former and the latter are divided by their greatest common factor.

2. Fraction ratio: the last item in the previous paragraph is multiplied by the least common multiple of the denominator at the same time, and then simplified by simplifying the integer ratio. You can also find the ratio and write it out in the form of ratio.

3. Decimal ratio: move the decimal point to the right, that is, first convert it into an integer ratio.

Extended data

First, the difference between ratio and proportion

1, meaning, item number and part name are different. The ratio represents the division of two numbers; There are only two items: the first item and the last item of the ratio. A: B is comparison. Proportion is an equation, which means that two proportions are equal; There are four projects: two external projects and two internal projects. For example, a: b = 3: 4 is the ratio.

2. Ratio and proportion have different basic properties and different applications. The nature of the ratio: the first and last items of the ratio are multiplied or divided by a non-zero number, and the ratio remains unchanged. Nature of proportion: In proportion, the product of two external terms is equal to the product of two internal terms. The nature of the ratio is used for the solution ratio.

Second, the relationship between ratio and proportion

Ratio and proportion are closely related. The ratio studies the relationship between two quantities, so it has two items; Proportion is to study the relationship between two sets of corresponding figures in two related quantities, so the proportion consists of four items.

Proportion is made up of ratios. If there is no ratio between two quantities, the ratio does not exist. Proportion is the development of ratio. If the ratio on the right side of the ratio formula is regarded as a number, the ratio and ratio can be unified at this time. If two ratios are equal, then these two ratios can form a proportion. The ratio of the two proportions must be equal.