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:b'.

Front

How do you simplify a ratio?

Back

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

Front

If the ratio of red to yellow paint is 3:2, how much yellow paint is needed for 9 red?

Back

6 yellow paint (since 9 red corresponds to 6 yellow in the ratio).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

If there are 5 boys for every 4 girls, how many girls are there if there are 20 boys?

Back

16 girls (since 20 boys corresponds to 16 girls in the ratio).

Front

What is the total number of items if the ratio of green to blue hats is 5:7 and there are 20 green hats?

Back

28 hats (20 green + 28 blue = 48 total).

Front

How do you find the missing value in a ratio?

Back

Use cross-multiplication or set up a proportion to solve for the missing value.

Front

What is the ratio of green gum to red gum if there are 10 green and 30 red?

Back

1:3 (since 10 green corresponds to 30 red).

Front

If the ratio of horses to goats is 18:12, what is the simplified ratio?

Back

3:2 (dividing both terms by 6).

Front

How do you express a ratio as a fraction?

Back

A ratio a:b can be expressed as the fraction a/(a+b).