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# Ratios, Rates, and Proportions: sub-module 7 of 7 of math tutorials

Ratios, rates and proportions allow us to compare quantities. For example, you need to mix different colours of paint in a specific ratio to get a desired colour. When we say we are driving 100 kilometers per hour, that is an example of a rate. If two rates or ratios are equivalent to one another it is called a proportion. Proportions can be used to solve for unknown values and have several applications, including unit conversions and dosage calculations. In this module, you will review how to use ratios, rates, and proportions to solve real-life problems.

## Top Tips

• A ratio compares numbers or quantities in the same units.
• A rate compares numbers or quantities in different units.
• A unit rate is a rate with a denominator of 1. Unit rates are useful because they allow us to compare rates.
• Proportions are formed when two ratios or rates are equivalent.
• Cross multiplication can be used to solve for unknown values in proportions.
• Proportions can be used to solve unit conversions and dosage problems.