Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 3:5), or with the word 'to' (e.g., 3 to 5).

Front

What is a unit rate?

Back

A unit rate is a rate where the denominator is 1, indicating how much of one quantity corresponds to one unit of another quantity.

Front

If the ratio of tenants to cars is 3:5 and there are 30 tenants, how many cars are there?

Back

There are 50 cars.

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, typically with different units.

Front

How do you calculate the number of students per class if there are 88 students and 4 classes?

Back

Divide the total number of students (88) by the number of classes (4) to get 22 students per class.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you simplify the ratio 8:12?

Back

You can simplify the ratio 8:12 by dividing both numbers by their greatest common divisor, which is 4, resulting in 2:3.

Front

What is the formula for calculating a rate?

Back

The formula for calculating a rate is: Rate = Quantity 1 / Quantity 2.