Rates, Ratios, and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you pay $1.95 for 5 bananas, the unit rate is the cost of one banana.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate, divide the total cost by the number of items. For example, if 5 soft drinks cost $3.25, the unit rate is $3.25 ÷ 5 = $0.65 per drink.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 10 shaded squares to 6 not shaded squares is written as 10:6.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 10:6 can be simplified to 5:3.

Front

What is the difference between a rate and a ratio?

Back

A rate is a specific kind of ratio that compares two quantities with different units, while a ratio compares two quantities with the same unit.

Front

If Ms. Gombos bought 8 packs of paper for $27.00, what is the cost per pack?

Back

To find the cost per pack, divide the total cost by the number of packs: $27.00 ÷ 8 = $3.375 per pack.

Front

How do you determine which option is a better buy?

Back

To determine the better buy, calculate the unit price for each option and compare them. The option with the lowest unit price is the better buy.

Front

What is the unit price of 3 CDs for $41.91?

Back

To find the unit price, divide the total cost by the number of CDs: $41.91 ÷ 3 = $13.97 per CD.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both parts of the ratio by the same number until you cannot divide any further.

Front

What is the unit rate for 5 bananas costing $1.95?

Back

The unit rate is $1.95 ÷ 5 = $0.39 per banana.