ratios and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

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

Front

What is a proportion?

Back

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

Front

How can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios. If the products are equal, then the ratios form a proportion.

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity changes, the other quantity changes at a constant rate.

Front

If there are 4 birds and 6 snakes, what is the ratio of birds to snakes?

Back

4/6 or 2/3 when simplified.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

What is an example of a non-proportional relationship?

Back

If the ratio of x to y is 1:2 and then changes to 2:3, it is non-proportional.

Front

What does it mean if every time you divide two numbers you get the same answer?

Back

It indicates that the two quantities are proportional.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc.