Determine Unit Rates with Ratios of Fractions

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, dollars per item).

Front

How do you calculate a unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

If a recipe calls for 2/3 cup of one ingredient for every 3/4 cup of another, how do you find the unit rate of the first ingredient?

Back

To find the unit rate, divide the amount of the first ingredient by the amount of the second ingredient. For 2/3 ÷ 3/4, multiply by the reciprocal: (2/3) * (4/3) = 8/9.

Front

How do you convert a ratio of fractions into a unit rate?

Back

To convert a ratio of fractions into a unit rate, divide the first fraction by the second fraction. For example, (2/3) ÷ (3/4) = (2/3) * (4/3) = 8/9.

Front

What is the unit rate of distance traveled over time?

Back

The unit rate of distance traveled over time is calculated by dividing the distance by the time taken. For example, if Eden bikes 4/3 miles in 1/10 hour, the unit rate is (4/3) ÷ (1/10) = 40/3 miles per hour.

Front

How do you find the time taken to travel one unit of distance?

Back

To find the time taken to travel one unit of distance, divide the time by the distance. For example, if it takes 1/10 hour to travel 4/3 miles, the time to travel 1 mile is (1/10) ÷ (4/3) = 3/40 hours.

Front

What is the unit rate of snowfall per hour?

Back

To find the unit rate of snowfall per hour, divide the total inches of snow by the total hours. For example, if it snowed 14 inches in 5 hours, the unit rate is 14 ÷ 5 = 2.8 inches per hour.

Front

How do you calculate the cost per pound of an item?

Back

To calculate the cost per pound, divide the total cost by the total weight in pounds. For example, if 5 pounds of concrete cost $40, the cost per pound is $40 ÷ 5 = $8 per pound.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

How can unit rates help in comparing prices?

Back

Unit rates allow for easy comparison of prices by standardizing the cost to a single unit, making it easier to determine which option is more economical.