Rates

A rate is a comparison of two quantities with different units. It is a special type of ratio that compares two different kinds of things. Rates are used in many real-life situations, such as speed, distance, and unit pricing.

Calculating a Rate

To calculate a rate, you need to divide one quantity by another. The rate is usually written as a fraction, with the two quantities being compared as the numerator and denominator. For example, if you drive 200 miles in 4 hours, the rate of your speed is 200 miles / 4 hours, which simplifies to 50 miles per hour.

Unit Rates

A unit rate is a rate in which the second quantity is 1 unit. This makes it easier to compare rates for different quantities. For example, if a car travels 300 miles in 6 hours, the unit rate is 300 miles / 6 hours, which simplifies to 50 miles per hour.

Study Guide

What is a rate?
How do you calculate a rate?
What is a unit rate and why is it useful?
What are some real-life examples of rates?
Practice calculating rates and unit rates using different quantities and units of measurement.

Remember, rates are used to compare different quantities with different units, and unit rates make it easier to compare rates across different situations. With practice, you'll become more comfortable with calculating and understanding rates.