# Units of Conversion: Linear Measure

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 2: Convert 10 decimeters to yards.

Solution:

• Write the 10 decimeters as a fraction and multiply by 1 twice, which yields

,

which can be written as

• Multiply the three fractions:

• Rewrite the numerator and denominator so units stand alone:

• Rewrite the fraction as three fractions:

• Simplify: 1.0936 x 1 x 1 x 1 yard = 1.0936 yards

• 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 to the next problem, click on Next Problem.

[Units of Conversion]