Ratios, Rates & Unit Rates

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.

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

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).

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

$3 per app.

$2 per pound.

Unit Rate = Total Quantity / Number of Units.

50 miles per hour.

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

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