ratios and proportions

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 write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication, where you multiply the means and the extremes.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between the two quantities.

Front

If Ella has 5 balloons and Taylor has 7 balloons, what is the ratio of Ella's balloons to the total number of balloons?

Back

The ratio of Ella's balloons to the total number of balloons (5 + 7 = 12) is 5:12.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars (3) to all toy cars (2 + 3 + 5 = 10) is 3:10.

Front

How can you find the missing value in a proportion?

Back

You can find the missing value by setting up a proportion and using cross-multiplication to solve for the unknown.

Front

What is the 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).