Let's identify the conversion rate between yards (yd) and inches (in.).

1 yd = 36 in .

This means that the conversion factor between yards and inches can be expressed by the following fraction.

\frac{1 yd}{3 6 in .}

Now, we want to convert

27

inches to yards. To do this, we can multiply both terms of the factor by

\frac{2 7}{3 6}

to write an equivalent rate. By doing that, we will end with

27

inches in the denominator. Let's do this!

\frac{1 yd \times \frac{2 7}{3 6}}{3 6 in . \times \frac{2 7}{3 6}}

MoveLeftFacToNum

$a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$

\frac{\frac{2 7}{3 6} yd}{\frac{9 7 2}{3 6} in .}

CalcQuot

Calculate quotient

\frac{0 . 7 5 yd}{2 7 in .}

We found that

27

inches are equal to

0.75

yards.

Extra

Common Conversion Factors

The following tool can be used to help you explore some of the most commonly used conversion factors. Conversions can be made both within or between the Metric System and the Imperial System — which is also known as the U.S. Customary System. Conversions can also be made for different measurement types: length, mass, temperature, time, area, or volume.

All across the globe, humans use conversion factors on a daily basis. Want to use a recipe that is written using milliliters? Convert it! Want to compare your height to that of an Olympic athlete? Convert it! You can read more about applications of conversion factors in our original content.

Dimensional Analysis and Using Units

Exercise

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