Rates and 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'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, showing how much of one quantity corresponds to one unit of another quantity.

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

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

60 miles per hour.

Front

What is the formula to calculate a rate?

Back

Rate = Quantity / Time.

Front

If you earn $120 for 10 hours of work, what is your hourly rate?

Back

$12 per hour.

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 convert a ratio to a fraction?

Back

Write the first quantity as the numerator and the second quantity as the denominator.

Front

What does it mean if a unit rate is greater than another?

Back

It means that the first quantity is more efficient or better value compared to the second quantity.