A ratio is a way to compare two quantities by showing how many times one value contains or is contained within the other. Ratios can be written in three ways: using the word "to," with a colon (:), or as a fraction. For example, the ratio of 2 to 3 can be written as 2 to 3, 2:3, or 2/3.

Ratios are often used in everyday life, such as comparing ingredients in recipes, analyzing statistics, or creating models.

Examples:

Example 1: Comparing Quantities
In a class, there are 4 boys and 6 girls. The ratio of boys to girls is:
4 to 6, or 4:6, or 2:3 (simplified).

Example 2: Using Ratios in a Recipe
A lemonade recipe uses 1 part sugar to 3 parts water. If you use 2 cups of sugar, how much water do you need?
The ratio is 1:3, so for 2 cups of sugar, you need:
2 × 3 = 6 cups of water.

Understanding ratios helps in solving problems where quantities need to be compared or scaled up and down.

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