Ratios & Equivalent Ratios

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., \( \frac{2}{3} \)), or in words (e.g., '2 to 3').

Front

What does it mean for ratios to be equivalent?

Back

Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is the simplest form of the ratio 32:16?

Back

The simplest form of the ratio 32:16 is 2:1.

Front

If a class has 16 boys and 32 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 2:1.

Front

How do you find the ratio of two different groups?

Back

To find the ratio of two different groups, count the number of items in each group and express it as a fraction or using a colon.

Front

What is the ratio of stars to squares if there are 3 stars and 4 squares?

Back

The ratio of stars to squares is 3:4.

Front

How do you express the ratio of a part to a whole?

Back

To express the ratio of a part to a whole, divide the part by the whole and simplify if necessary.

Front

What is the ratio of people who commute by bicycle to the total number of employees if 10 out of 46 commute by bicycle?

Back

The ratio is \( \frac{10}{46} \) or simplified to \( \frac{5}{23} \).