Decimal Feet to Feet and Inches Calculator

pragmaticconstruction | πŸ—“οΈModified: January 16, 2024 | ⏳Time to read:2 min

To convert a length expressed in decimal feet and inches to a format that includes feet, inches, and a fraction of an inch, you can follow a systematic process:

  1. Subtract Whole Feet:
    • Start by subtracting the whole feet amount from the given decimal. For instance, if the length is 22.657 feet, subtracting 22 leaves you with 0.657.
  2. Remove Whole Inches:
    • Next, remove the whole inches by multiplying the remaining decimal by 12, considering that there are 12 inches in a foot. For example, for 0.657, multiplying by 12 yields 7.884, indicating 7 whole inches.
  3. Subtract Whole Inches:
    • Now, subtract the whole inches obtained in the previous step from the result. In our example, subtracting 7 from 7.884 leaves 0.884.
  4. Express Decimal as a Fraction:
    • Express the decimal portion as a fraction with 1000 as the denominator. For 0.884, this translates to 884/1000.
  5. Choose Desired Denominator:
    • To make the fraction more user-friendly, you can choose a preferred denominator. Multiply the decimal portion by the chosen denominator and round to the nearest whole number. For instance, if you choose 8 as the denominator, 0.884 * 8 equals 7.072, which rounds to 7. This results in a fraction of 7/8.
  6. Combine Results:
    • Finally, combine all the obtained values. In our example of 22.657 feet, this translates to 22 feet – 7 inches – 7/8 inches.

In summary, the decimal feet amount of 22.657 is equivalent to 22 feet – 7 inches – 7/8 inches.

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