Flashcard on Comparing 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 can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 4/5), with the word 'to' (e.g., 4 to 5), or with a colon (e.g., 4:5).

Front

What does the ratio 3:6 represent?

Back

The ratio 3:6 represents a comparison of 3 parts of one quantity to 6 parts of another quantity.

Front

If there are 8 dogs and 12 turtles, what is the ratio of dogs to turtles?

Back

The ratio of dogs to turtles is 8:12, which can be simplified to 2:3.

Front

What is the total number of animals if there are 8 dogs, 12 turtles, and 3 cats?

Back

The total number of animals is 8 + 12 + 3 = 23.

Front

In a ratio of 4:5, what does the number 4 represent?

Back

In the ratio 4:5, the number 4 represents the first quantity being compared.

Front

What is the greatest ratio of maple trees to total trees if West End has 20 maple trees and 80 total trees?

Back

The ratio is 20:80, which simplifies to 1:4.

Front

How do you compare two ratios?

Back

To compare two ratios, you can cross-multiply or convert them to fractions and compare the values.

Front

What is the ratio of cats to all animals in a pet store with 8 dogs, 12 turtles, and 3 cats?

Back

The ratio of cats to all animals is 3:23.

Front

If a family member takes 10 minutes to make 5 pieces of a garland, what is the ratio of time to pieces?

Back

The ratio of time to pieces is 10:5, which simplifies to 2:1.