# Ratios and proportions

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What are ratios and proportions?

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#### Solution Preview

Ratios are pairs of numbers that are used to make comparisons.

A ratio compares two numbers using a fraction. Ratios can be written with different notations:

2 to 3

2:3

2/3

all have the same meaning.

Putting two numbers in a ratio gives you a sense of the relative

sizes of two numbers. For instance to know the ratio of 200 to

100 you say it is 200/100 = 2. That means 200 is twice the size of 100.

The best way to explain this is by example:

If you have a pet store with 12 cats and 18 dogs, then the ratio of cats to dogs is 12/18 = 2/3, and the ratio of dogs to cats is 18/12 = 3/2. This is, there are 3 ...

#### Solution Summary

This explains ratios and proportions.

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