Ratios and Proportions I

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

How do you express a ratio?

Back

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

Front

What is a proportion?

Back

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

Front

How do you find the ratio of a part to a whole?

Back

To find the ratio of a part to a whole, divide the part by the whole and express it in simplest form.

Front

What is the ratio of boys to girls if there are 5 boys and 7 girls?

Back

The ratio of girls to boys is 7:5.

Front

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

Back

If there are 30 tenants, then there are 50 cars.

Front

What is the relationship between equivalent ratios?

Back

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

Front

How can you simplify a ratio?

Back

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

Front

What is the ratio of dogs to all pets if there are 2 dogs, 4 cats, and 5 hamsters?

Back

The ratio of dogs to all pets is 2:11.

Front

What does it mean if two ratios are in proportion?

Back

If two ratios are in proportion, it means that the cross products of the ratios are equal.