Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing 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., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a quantity to the entire quantity, such as the ratio of boys to the total number of students.

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 the ratio of cats to dogs is 4:5, how many cats are there if there are 20 dogs?

Back

If the ratio is 4:5, then for every 5 dogs, there are 4 cats. If there are 20 dogs, there are (20 dogs * 4 cats/5 dogs) = 16 cats.

Front

What is the cross-multiplication method used for?

Back

Cross-multiplication is used to determine if two ratios are equivalent by multiplying the outer terms and the inner terms.

Front

If 3/4 of a class are girls and the rest are boys, what is the ratio of girls to boys?

Back

If 3/4 are girls, then 1/4 are boys. The ratio of girls to boys is 3:1.