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 express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What is a proportion?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of 10 soccer players to 3 coaches?

Back

3:10

Front

If there are 20 strawberries and 35 grapes, what is the ratio of strawberries to the total?

Back

20:55

Front

What is the ratio of wins to losses if a team has 25 wins and 45 losses?

Back

5:9

Front

Are the ratios 1/3 and 4/12 equal?

Back

Yes, they are equal.

Front

How do you find the simplest form of a ratio?

Back

To find the simplest form, divide both parts of the ratio by their GCD.

Front

What is the ratio of 12 to 18 in simplest form?

Back

2:3