Ratios and Rates

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b'.

The word 'to' is used to indicate the relationship between the two quantities in a ratio.

Ratios can be expressed in several forms: as fractions (e.g., 2/3), with a colon (e.g., 2:3), or in words (e.g., two-thirds).

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

$63.00

$8 per pound.

21:28 is NOT equivalent to 3:5.

Equivalent ratios represent the same relationship between quantities, meaning they can be simplified to the same form.

To find a missing value in a ratio, set up a proportion and cross-multiply to solve for the unknown.

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., miles per hour).