Basic to the understanding of unit conversion is the understanding of
equivalence, the understanding of the multiplicative identity of 1, and how
the two are related. For a review of these concepts, click on **Review**.

If you have forgotten how to manipulate fractions, visit **Fractions
for Adults** on SOSMath for an in-depth review.

Review the following table (Webster's New World Dictionary, Second Edition, Simon and Schuster, 1982) of Standard Units of Conversion to see if you can create fractions that have a value of 1. You can click to examples following each table.

**Square Measure**

**Example 1****: Convert 180 square inches to
square feet.**

**Solution:**

- 180 square inches can be written as 180 x 1 square inch.
- Since 1 square inch can be written as 1 inch x 1 inch,
- 180 square inches can be written 180 x 1 inch x 1 inch.
- Note that 1 inch can be written as 1 inch x 1 and the 1 can be
written as a fraction where the numerator and the denominator are
equivalent.
- Write 1 inch x 1 as 1 inch x
- This can be further simplified to read
- 180 square inches = 180 x 1 inch x 1 inch = 180 x 1 inch x 1 x 1 inch
x 1
=

- Multiply the fractions.
- Rearrange the numerator and rearrange the denominator.

- Rewrite as five fractions where as many fractions as possible have an
equivalent value of 1.
1.25 x 1 x 1 x 1 foot x 1 foot

- Note: 1 foot x 1 foot is the same as one foot squared is the same as
one square foot.
- The answer is 1.25 square feet.
- Since 1 square foot is equivalent to 144 square inches, the fraction is equivalent to
1.
Therefore, another way to work the problem is as follows:

= 1.25 x 1 x 1 square foot = 1.25 square feet

If you would like to review another example, click on **Example.**

If you would like to work some problems, click on **Problems.**

If you would like to go back to the table of contents, click on
**Table of Contents.**

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