# How do you convert 3 miles to yards?

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#### Explanation

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#### Explanation:

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Kayla Share
Jan 11, 2017

3cancel"miles"xx(1760 "yd")/(1cancel"mile") = 5280 "yards

#### Explanation:

In order to compute the number of yards in 3 miles, we're going to use dimensional analysis (method that allows you to convert from one unit of measurement to another by cancelling out unwanted units) and the relationship below:

For questions like this I use the following technique:

$\text{Quantity Given" xx "Conversion Factor" = "Quantity Sought}$

color(magenta)("Quantity Given:" 3 miles

color(gold)("Conversion Factor:" 1760

color(red)("Quantity Sought:" yards

Let's plug in our values:

3cancel"miles"xx(1760 "yd")/(1cancel"mile") = $5280 \text{yards}$

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