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 Zane adds 2 ounces of tuna to 10 ounces of cat food, what is the ratio of tuna to cat food?

Back

The ratio of tuna to cat food is 2:10, which simplifies to 1:5.

Front

How do you compare two ratios?

Back

To compare two ratios, convert them to fractions and find a common denominator or cross-multiply to see which is larger.

Front

What is the ratio of pepperoni to ham on Clara's pizza if she uses 4 pepperoni and 6 ham?

Back

The ratio of pepperoni to ham on Clara's pizza is 4:6, which simplifies to 2:3.

Front

What happens to the taste of a mixture if you increase one ingredient while keeping the other constant?

Back

Increasing one ingredient while keeping the other constant will change the ratio, potentially altering the taste of the mixture.

Front

If Brett's first batch has 1 cup of caramel chips and 4 cups of oats, what is the ratio of caramel chips to oats?

Back

The ratio of caramel chips to oats in Brett's first batch is 1:4.

Front

What is the significance of the order in a ratio?

Back

The order in a ratio matters because it indicates which quantity is being compared to which, affecting the interpretation of the relationship.

Front

If Dan uses 2 tablespoons of baking soda and 6 tablespoons of vinegar, what is the ratio of baking soda to vinegar?

Back

The ratio of baking soda to vinegar is 2:6, which simplifies to 1:3.