Ratios and Rates

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms 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

How do you find the unit rate from a total distance and time?

Back

To find the unit rate, divide the total distance by the total time.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is the ratio of triangles to squares if there are 4 triangles and 12 squares?

Back

The ratio of triangles to squares is 1:3.

Front

If 190 people fit in 3 buses, how many people fit in one bus?

Back

To find the number of people per bus, divide 190 by 3, which is approximately 63.33 people per bus.

Front

How do you calculate the number of buses needed for a given number of people?

Back

To calculate the number of buses needed, divide the total number of people by the number of people that fit in one bus and round up to the nearest whole number.

Front

What is an example of an incorrectly written ratio?

Back

An incorrectly written ratio might be 'X and Y' without a clear relationship or numerical values.