Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios 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 does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

Front

What is the ratio of red circles to blue stars if there are 7 red circles and 4 blue stars?

Back

The ratio of red circles to blue stars is 7:4.

Front

If there are 23 animals in total, 9 are goats, 6 are sheep, and the rest are dogs, how do you find the ratio of dogs to goats?

Back

First, find the number of dogs: 23 - 9 - 6 = 8. The ratio of dogs to goats is 8:9.

Front

In a gym class, if there are 5 boys for every 3 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 3:5.

Front

What is the relationship of oranges to total fruit if there are 2 oranges and 6 total fruits?

Back

The ratio of oranges to total fruit is 2:6.

Front

How do you simplify the ratio 4:8?

Back

To simplify the ratio 4:8, divide both numbers by their greatest common divisor, which is 4. The simplified ratio is 1:2.

Front

What is a part-to-part ratio?

Back

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