Ratios and proportions

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 simplify a ratio?

Back

To simplify a ratio, divide both terms 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 form a proportion?

Back

Cross-multiply the ratios. If the products are equal, the ratios form a proportion.

Front

What is the ratio of apples to bananas if there are 4 apples and 2 bananas?

Back

The ratio of apples to bananas is 4:2, which simplifies to 2:1.

Front

If there are 5 pears in a bowl of 11 total fruits, what is the ratio of pears to all fruit?

Back

The ratio of pears to all fruit is 5:11.

Front

What is the ratio of red circles to blue stars if there are 3 red circles and 4 blue stars?

Back

The ratio of red circles to blue stars is 3:4.

Front

If Patrick has 3 red toy cars out of a total of 10 toy cars, what is the ratio of red toy cars to all toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

What does it mean if two fractions are equivalent?

Back

Two fractions are equivalent if they represent the same value, meaning they can be simplified to the same ratio.

Front

Back

x = 20.