Ratios and Proportions

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'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal. For example, if a/b = c/d, then a*d = b*c.

Front

If there are 5 boys and 7 girls, what is the ratio of girls to boys?

Back

7 to 5

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

13 to 10

Front

What is the ratio of money spent on gas to money spent on electric if Carly paid $30 for gas and $60 for electric?

Back

30:60

Front

In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of red to yellow marbles?

Back

2 to 5

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you simplify a ratio?

Back

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

Front

What is the ratio of total boys to total students if there are 13 boys and 10 girls?

Back

13 to 23