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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per pound.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

Front

How do you solve a proportion?

Back

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

Front

If 3 apps cost $9, how much does 1 app cost?

Back

$3 per app.

Front

If 5 pounds of apples cost $10, what is the cost per pound?

Back

$2 per pound.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

50 miles 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 simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and denominator by the least common denominator (LCD) of the fractions involved.