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Converting 66 Inches to Feet Using a Conversion Factor
To convert inches to feet, two conversion factors can be formed from the fact that foot inches: and . Both fractions equal , but only one will eliminate the unwanted unit.
The correct choice places the unit being converted from (inches) in the denominator so that it cancels with the inches in the original measurement:
The inches in the numerator and denominator cancel — just as common numerical factors do in a fraction — leaving only feet. Multiplying instead by would not cancel any units and would produce a meaningless result. The strategy is to treat unit labels like algebraic factors: place the unwanted unit where it will divide out, and the desired unit where it will remain.
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Ch.1 Foundations - Elementary Algebra @ OpenStax
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Learn After
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