Ratios/Rates/Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

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

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 unit' (e.g., miles per hour).

Front

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

Back

Divide the total cost by the quantity to find the cost per unit.

Front

What is the formula for finding the price per item?

Back

Price per item = Total price / Number of items.

Front

If a bag of chips costs $4.39 for 11.5 oz, what is the unit price per ounce?

Back

Unit price = $4.39 / 11.5 oz = $0.38 per oz.

Front

What is the ratio of wins to losses if a team has won 11 games and lost 1?

Back

The ratio of wins to losses is 11:1.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, reduce it to the smallest whole numbers that maintain the same relationship.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate of distance per time).

Front

If there are 6 yellow LEGOs and 3 red LEGOs, what is the ratio of red to yellow in simplest form?

Back

The ratio of red to yellow LEGOs is 1:2.