Ratios and Rates

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

A ratio can be written in three ways: using a colon (e.g., 5:7), as a fraction (e.g., 5/7), or with the word 'to' (e.g., 5 to 7).

The ratio of Ella's balloons to Taylor's balloons is 5:7.

There are 22 students per class (88 students ÷ 4 classes = 22 students/class).

The ratio of oatmeal cookies to chocolate chip cookies is 5:6.

Solving a proportion means finding the value of a variable that makes two ratios equal.

The value of n is 8.

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

To convert a ratio to a percentage, divide the first quantity by the second quantity and multiply by 100.

Ratios can be expressed as fractions, and they represent the same relationship between quantities.