Basic to the understanding of unit conversion is the understanding
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.

**LinearMeasure**

**Problem 3: Convert 1400 yards to furlongs**

**Solution:**

- Write the 1,400 yards decimeters as a fraction and multiply by 1 three times.

- Multiply the four fractions:
- Rewrite the numerator and denominator so units stand alone:

- At this point, you could cancel the yards, the foots, and the miles. However, let's show you the reason one more time.
- Rewrite the fraction as five fractions:

- Simplify: 6.363636 x 1 x 1 x 1 yard x 1 furlong= 6.363636 furlongs
- This is an approximate answer because we rounded to six
decimals.

To go back to Problem page, click on Problem.

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

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author: Nancy Marcus

Fri Aug 2 12:03:12 MDT 1996

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