Comparing 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

How do you simplify a ratio?

Back

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

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same form.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you determine if two ratios are the same?

Back

You can determine if two ratios are the same by cross-multiplying and comparing the products.

Front

What is the ratio of 4 apples to 6 oranges?

Back

The ratio of 4 apples to 6 oranges can be simplified to 2:3.

Front

If Regan used 5 apples and Aunt Cindy used 3 apples, whose applesauce tasted more like cinnamon?

Back

Aunt Cindy's applesauce tasted more like cinnamon because she used fewer apples, making the cinnamon flavor stronger.

Front

What is the ratio of baking soda to vinegar if you use 2 tablespoons of baking soda and 6 tablespoons of vinegar?

Back

The ratio of baking soda to vinegar is 1:3.

Front

If Emilia uses 2 cups of grape juice for every 5 cups of pineapple juice, what is the ratio of grape juice to pineapple juice?

Back

The ratio of grape juice to pineapple juice is 2:5.

Front

What is the relationship between the ratios 3:9 and 1:3?

Back

The ratios 3:9 and 1:3 are equivalent because both simplify to the same ratio.