Ratios and Equivalent Ratios

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

What does it mean for two ratios to be 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 do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the ratio of 16 to 32 in simplest form?

Back

The ratio of 16 to 32 in simplest form is 1:2.

Front

Are the ratios 1:2 and 2:4 equivalent?

Back

Yes, the ratios 1:2 and 2:4 are equivalent because both simplify to the same fraction.

Front

How do you write the ratio of girls to boys if there are 32 girls and 16 boys?

Back

The ratio of girls to boys is 32:16, which simplifies to 2:1.

Front

What is the ratio of hot dogs to cheeseburgers if there are 2 hot dogs and 4 cheeseburgers?

Back

The ratio of hot dogs to cheeseburgers is 2:4, which simplifies to 1:2.

Front

If a class has 16 boys and 32 girls, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 16:32, which simplifies to 1:2.

Front

What is the first step to determine if two ratios are equivalent?

Back

The first step is to cross-multiply the ratios and compare the products.

Front

How can you express the ratio of 3 stars to 4 squares?

Back

The ratio of 3 stars to 4 squares can be expressed as 3:4.