Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if 10 apples cost $5, the unit rate is $5/10 apples = $0.50 per apple.

Front

If you can cut 3 lawns in 5 hours, what is your rate of cutting lawns per hour?

Back

Your rate is 3 lawns / 5 hours = 0.6 lawns per hour.

Front

If your friend can cut 5 lawns in 8 hours, what is their rate of cutting lawns per hour?

Back

Your friend's rate is 5 lawns / 8 hours = 0.625 lawns per hour.

Front

How do you compare two rates?

Back

To compare two rates, convert them to the same unit or find a common denominator, then compare the values.

Front

If hamburger sells for 3 pounds for $6, how much does it cost per pound?

Back

The cost per pound is $6 / 3 pounds = $2 per pound.

Front

What is the formula to find the rate of snowfall?

Back

The rate of snowfall can be calculated using the formula: Rate = Total Snowfall (in inches) / Total Time (in hours).

Front

If Buffalo received 22 inches of snow in 12 hours, what was the snowfall rate?

Back

The snowfall rate for Buffalo is 22 inches / 12 hours = 1.83 inches per hour.