Ratios and Proportions

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

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

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication. If a/b = c/d, then a*d = b*c.

Front

What is the ratio of red cars to yellow cars if John has 2 red cars and 6 yellow cars?

Back

1:3

Front

If there are 3 blue students and 9 yellow students, what is the ratio of blue to yellow students?

Back

1:3

Front

In a flower bunch, if 1/3 are tulips, what is the ratio of roses to tulips?

Back

2:1

Front

If the ratio of purple sweets to red sweets is 2:5, what fraction of the sweets are purple?

Back

2/7

Front

What is the ratio of students who chose science to the total number of students if 1/5 chose science?

Back

1:5

Front

How do you simplify a ratio?

Back

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