Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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 chocolate chips to flour in a recipe that calls for 3 cups of flour and 2 cups of chocolate chips?

Back

The ratio of chocolate chips to flour is 2 : 3.

Front

If the ratio of tomatoes to cucumbers is 4 : 1 and there are 14 cucumber plants, how many tomato plants are there?

Back

There are 56 tomato plants.

Front

How do you express the ratio of girls to boys in a class with 32 girls and 16 boys in simplest form?

Back

The ratio of girls to boys in simplest form is 2 : 1.

Front

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

Back

Yes, they are equivalent ratios.

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

If a recipe is scaled up, how does that affect the ratios of ingredients?

Back

The ratios of ingredients remain the same, even if the quantities are increased or decreased.

Front

What is the ratio of boys to girls in a class with 16 boys and 32 girls?

Back

The ratio of boys to girls is 1 : 2.