What Is the Unit Rate in Math?

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In math, the unit rate describes the number of units in the first quantity to one unit of the second quantity. Discover how unit rates are used in calculating miles per hour with help from a math teacher in this free video series on math help and lessons.

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So where's the unit rate in Math? The unit rate in Math. Hi, I'm Jimmy Chang; I've been teaching College Math for nine years and we're here to answer that question. Now it's a basic definition that takes a little bit to write, but it's pretty easy to understand once you understand the definition behind it. So here's the definition. A unit rate describes the number of units in the first quantity to 1 unit of the second quantity. So in other words, the first thing that you're comparing it with can have as many as large a number as a 1's, but the second quantity that you're comparing should only be 1 unit. So here's an example. Suppose your speed along the highway is 65 miles per hour. What that tells you here is, 65 miles, that's quantity 1, to 1 hour, that's your second quantity. This is an example of a unit rate because you have 65 miles to 1 hour. You can express that as 65 miles over 1 hour. Now another illustration as if you were, let's just say cooking, you have 3 cups of sugar to 1 cup of water. Well, that's another example of a unit rate because you have 3, 3 cups of sugar to 1 cup of water. So anytime you have a situation where you have a certain number of 1 quantity versus 1 unit of another quantity, whether it'd be miles per hour or sugar to water, you have what's called unit rate because it will always be consistent in that particular comparison. So, I'm Jimmy Chang and that's an example of unit in Math.

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