Ratios and 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., 2/3), or in words (e.g., '2 to 3').

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

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 simplest form of the ratio 32:16?

Back

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

Front

If the ratio of boys to girls is 6:5 and there are 18 boys, how many girls are there?

Back

There are 15 girls.

Front

What is the ratio of girls to boys in a class with 21 boys and 6 girls?

Back

The ratio of girls to boys is 2:7.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Front

If there are 23 animals consisting of 9 goats, 6 sheep, and the rest dogs, what is the ratio of dogs to goats?

Back

The ratio of dogs to goats is 8:9.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).