Ratios, Unit Rates & Proportions

Front

What is a ratio?

Back

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 'x per 1 unit'.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

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 formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If 45 cookies are made in 3 batches, what is the unit rate of cookies per batch?

Back

15 cookies per batch.

Front

Are the ratios 2:3 and 4:6 equivalent?

Back

Front

Back

Cross-multiply to get 45 * 3 = 27 * x.

Front

What is the GCF of 6 and 18?

Back

The GCF of 6 and 18 is 6.