Ms. Ellis Ratios

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 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 8 to 12?

Back

The ratio of 8 to 12 can be simplified to 2 to 3.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

If the ratio is 2:3, then for 6 cups of flour, you need 4 cups of sugar.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a quantity to the entire quantity, such as the ratio of boys to the total number of students.

Front

If the ratio of cats to dogs is 3:5, how many dogs are there if there are 9 cats?

Back

If the ratio is 3:5, then for 9 cats, there are 15 dogs.

Front

What is the relationship between ratios and proportions?

Back

Ratios are comparisons of two quantities, while proportions state that two ratios are equal.