Rates, Ratios and Unit Rates

Front

What is a ratio?

Back

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

Front

What are the three types of ratios?

Back

The three types of ratios are Part to Part, Part to Whole, and Whole to Part.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

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).

Front

If the ratio of A to B is 3:4, what is the equivalent ratio if both A and B are multiplied by 2?

Back

The equivalent ratio would be 6:8.

Front

How do you convert a ratio into a percentage?

Back

To convert a ratio into a percentage, divide the first number by the second number and multiply by 100.

Front

In a ratio of 3:5, if there are 30 tenants, how many cars are there?

Back

If the ratio of tenants to cars is 3:5, then with 30 tenants, there would be 50 cars.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate comparing distance and time).

Front

How can you determine if a ratio is written incorrectly?

Back

A ratio is written incorrectly if it does not maintain the correct relationship between the two quantities being compared.

Front

What is the formula for calculating a unit rate?

Back

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