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**

**Example 2: **Convert 4.6 kilometers to miles.

**Solution:**

- Write 4.6 kilometers as a fraction by dividing it by
1:

- Multiply the fraction by 1: 1.
- The Webster Dictionary states that there are approximately 0.621
miles in 1 kilometer; therefore the fraction is equivalent to 1 because the numerator and
the denominator measure the same length.
- Rewrite the expression
1 with the 1 converted to the fraction
:

- Rewrite 4.6 kilometers as and 0.621 miles as :
- Multiply the two fractions:
- Rearrange the numerator:
- Write the above fraction as two fractions:
- Replace the fraction by 1:
- Simplify: 2.8566 miles

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

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

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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