Explain the difference between a ratio and a rate.

A ratio is a comparison between two quantities, showing the relative sizes of two or more values. It can be expressed in several ways, such as 3 to 2, 3:2, or 3/2. Ratios do not have a specific unit of measure.

On the other hand, a rate is a ratio that compares two quantities of different units. It is a specific kind of ratio, which denotes the measured quantity of one thing to another. For example, if a car travels 60 miles in 2 hours, the rate is 30 miles per hour.

In summary, while both ratios and rates are comparisons of two quantities, the key difference is that ratios compare quantities of the same unit, while rates compare quantities of different units.