Rates, Ratios and Unit Rates

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (X:Y), as a fraction (X/Y), or with the words 'to' (X to Y).

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' (e.g., miles per hour).

Front

If the ratio of cats to dogs is 2:3 and there are 12 cats, how many dogs are there?

Back

18 dogs.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form, where the two numbers have no common factors other than 1.

Front

What is the unit rate if a car travels 240 miles in 4 hours?

Back

60 miles per hour.

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 do you find the total number of items from a ratio?

Back

To find the total number of items from a ratio, add the parts of the ratio together and then use the total to find the individual quantities.

Front

What is the ratio of 35 to 14 in simplest form?

Back

5:2.

Front

If a person earns $150 in 3 hours, what is their hourly rate?

Back

$50 per hour.