Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, the ratio 12 to 4 simplifies to 3 to 1.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2 to 3.

Front

How do you find a unit rate from a given rate?

Back

To find a unit rate, divide the first quantity by the second quantity. For example, if a car travels 150 miles in 3 hours, the unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, while ratios can compare any two quantities.

Front

If it takes 4 hours to mow 2 lawns, how many lawns can be mowed in 8 hours?

Back

In 8 hours, 4 lawns can be mowed.

Front

Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?

Back

Lynnette washes 19 cars per day.

Front

If Luke can paint 91 portraits in 7 weeks, how many portraits does he paint each week?

Back

Luke paints 13 portraits per week.

Front

What is the simplest form of the ratio 12 to 2?

Back

The simplest form of the ratio 12 to 2 is 6 to 1.