Ratios and Proportions

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

A ratio can be written in three ways: as a fraction (e.g., 1/2), with a colon (e.g., 1:2), or with the word 'to' (e.g., 1 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 factor (GCF).

Front

What is the unit rate?

Back

The unit rate is a comparison of a quantity to one unit of another quantity, often expressed as 'per' (e.g., miles per hour).

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate, divide the total cost by the number of items.

Front

If 4 stickers cost $2.50, what is the cost of 1 sticker?

Back

The cost of 1 sticker is $2.50 ÷ 4 = $0.625.

Front

If 10 dogs to 4 cats is a ratio, what is the simplest form?

Back

The simplest form is 5:2.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.