Pre- al: fractional rates

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 a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you convert miles per hour to feet per second?

Back

To convert miles per hour to feet per second, multiply the speed in miles per hour by 5280 (the number of feet in a mile) and then divide by 3600 (the number of seconds in an hour).

Front

What is the formula for finding the unit price?

Back

The unit price is found by dividing the total price by the number of units. For example, if a pack of 10 slices costs $2.48, the unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

How do you find the better deal between two products?

Back

To find the better deal, calculate the unit price for each product and compare them. The product with the lower unit price is the better deal.

Front

What is dimensional analysis?

Back

Dimensional analysis is a mathematical technique used to convert one unit of measurement to another using conversion factors.

Front

How do you calculate the unit rate from a total amount earned over time?

Back

To calculate the unit rate, divide the total amount earned by the total time worked. For example, if Alycia earned $20.40 in 3 hours, her unit rate is $20.40 ÷ 3 = $6.80 per hour.

Front

What is the relationship between fractions and rates?

Back

Rates can be expressed as fractions, where the numerator represents the quantity of interest and the denominator represents the time or other quantity. For example, a rate of 3/4 liter per hour indicates that 3/4 of a liter is consumed in one hour.

Front

How do you find the price per ounce of a product?

Back

To find the price per ounce, divide the total price by the total number of ounces. For example, if a 30 oz. jar costs $2.99, the price per ounce is $2.99 ÷ 30 = $0.10 per ounce.

Front

What is a fractional rate?

Back

A fractional rate is a rate that is expressed as a fraction, indicating a relationship between two quantities. For example, if a person drinks 1/2 liter of tea every 2/3 of an hour, the rate can be expressed as a fraction.

Front

How do you express a speed in feet per second?

Back

To express speed in feet per second, convert the speed from miles per hour to feet per second using the conversion factor: 1 mile = 5280 feet and 1 hour = 3600 seconds.