# Converting Yards to Miles

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• 0:04 Converting Yards into Miles
• 0:47 Practice Converting…
• 3:13 More Examples of Conversion
• 4:10 Lesson Summary

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Lesson Transcript
Instructor: Laura Pennington

Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.

Converting yards to miles can be done quite simply with a formula. In this lesson, we'll learn what that formula is and how we can use it to convert yards to miles in any instance. We'll explore this formula through examples and then test our knowledge with a quiz.

## Converted Yards into Miles

Did you know that a football field in America is 100 yards long, not including the end zones? Have you ever wondered how many football fields you would have to run in order to run a mile, or have you ever wondered how long a football field is in miles?

The Donghai Bridge is located in China, and it is one of the world's longest sea-crossing bridges, measuring in at approximately 35,200 yards long. If you were to travel this bridge by car, how many miles would you have traveled?

There are a number of instances when you may have a distance given to you in yards and you want to know how far that measurement is in miles. To answer these types of questions, we need to know how to convert yards to miles.

## Practice Converting Yards to Miles

It is common to be more familiar with the distance of one mile as opposed to the distance of one yard. Because of this, it is normal that, if we are given a distance in yards, we want to convert it to miles so we have a better idea of how far it is. For instance, if I told you I ran three miles, you would have a rough idea of how far that is. However, if I were to tell you that I ran 5,280 yards, you may have a harder time picturing how far that is.

The following two statements describe the relationship between yards and miles:

1. There are 1,760 yards in a mile
2. There are 1 / 1,760 = 0.0005681818 miles in a yard

From the second statement we can deduce the following:

• If you have 1 yard, then you have 1 / 1,760 miles
• If you have 2 yards, then you have 2 * (1 / 1,760) = 2 / 1,760 miles
• If you have 3 yards, then you have 3 * (1 / 1,760) = 3 / 1,760 miles

If we were to generalize this pattern, we see that if you have n yards, then you have:

We see that to convert yards to miles, we simply need to divide the number of yards by 1,760.

For example, we were wondering how long a football field is in miles. We know that a football field in America is 100 yards long. To figure out how many miles this is, we divide 100 by 1,760. That is:

100 / 1,760 = 0.056818 miles

You would need to run quite a few of these to reach a mile: a little over 17 to be exact.

Our other question was how many miles long is the Donghai Bridge. We were given that this bridge is approximately 35,200 yards long. To figure out how many miles this is, we divide 35,200 by 1,760. That is:

35,200 / 1,760 = 20 miles

We see that if we were to travel this bridge by car, we will have driven approximately 20 miles.

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