Unit Rate & Unit Price

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

To calculate the unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 10 apples for $5, the unit rate is $5/10 apples = $0.50 per apple.

$$\frac{2}{30} = \frac{1}{15}$$ cups of sugar per cookie.

$$\frac{1.5}{12} = \frac{1}{8}$$ cups of flour per brownie.

The unit price is the cost per single unit of a product, often used to compare prices of different sizes or brands.

To find the unit price, divide the total price by the number of units. For example, if a 12-pack of soda costs $6, the unit price is $6/12 = $0.50 per can.

$$\frac{408}{4} = 102$$ words per minute.

To find the unit rate, calculate $$\frac{\frac{2}{3}}{\frac{1}{3}} = 2$$ cups of cheese per pizza.

To compare unit rates, calculate the unit rate for each recipe and then compare the values. The recipe with the lower unit rate uses less of the ingredient per item.

$$\frac{1.5}{18} = \frac{1}{12}$$ cups of sugar per cookie.