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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.
- Start with the given measurement: .
- Multiply by : .
- Write as the correct conversion factor: Choose the fraction that places the unit being converted from (inches) in the denominator so that it cancels with the inches in the original measurement: .
- Cancel the matching unit and simplify: The inches in the numerator and denominator cancel, 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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