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 shade of color when you double the amount of a color in a mixture?

Back

Doubling the amount of a color in a mixture does not change the shade; it remains the same.

Front

If Regan used more apples than Aunt Cindy but the same amount of cinnamon, whose applesauce will taste more like cinnamon?

Back

Aunt Cindy's applesauce will taste more like cinnamon because she used fewer apples, making the cinnamon more pronounced.

Front

What is the effect of adding the same amount of coloring to different volumes of liquid?

Back

The smaller volume will appear darker because the coloring is more concentrated in a smaller amount of liquid.

Front

What is the formula for finding the equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.