Ratios and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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 proportion?

Back

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

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

4 red apples to 3 green apples.

Front

If Patrick has 3 red toy cars out of a total of 30 toy cars, what is the ratio of red toy cars to all toy cars?

Back

3:30, which simplifies to 1:10.

Front

What is the ratio of pears to all fruit if there are 5 pears, 4 apples, and 2 bananas?

Back

5:11.

Front

What does part to part ratio mean?

Back

A part to part ratio compares one part of a whole to another part of the same whole.

Front

What does part to whole ratio mean?

Back

A part to whole ratio compares one part of a whole to the entire whole.

Front

Are the ratios 10:20 and 1:2 equivalent?

Back

Yes, they are equivalent because both simplify to the same ratio.