What is the ratio of two numbers: definition, notation, examples

In this publication, we will consider what the ratio of two numbers is, how it is written, and also what actions can be performed with it so that it remains unchanged. The information presented is accompanied by practical examples.

Content

Determining the ratio of numbers

The ratio of two numbers their quotient is called, i.e. dividing one into another.

For example, the ratio of 24 to 6 can be written as “24:6” or present as . In this case, the denominator is the number with which the comparison is performed, and the numerator is the number that is being compared:

What is the ratio of two numbers: definition, notation, examples

Note: instead of a preposition “to” sometimes used “compared with”.

With the help of the ratio of numbers is shown:

1. How many times one of them is greater than the other (when the dividend is greater than the divisor).

What is the ratio of two numbers: definition, notation, examples

That is, 14 is twice the size of 7.

2. What part one number occupies in another (the divisor is greater than the dividend).

What is the ratio of two numbers: definition, notation, examples

That is, 5 is one fourth of the number 20 (or 25%).

Multiplying/dividing a ratio by a number

If you multiply or divide both elements of a ratio by the same non-zero number, the result is a new ratio that is equal to the original one.

Note: It is nothing more than .

For example:

What is the ratio of two numbers: definition, notation, examples

What is the ratio of two numbers: definition, notation, examples

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