Feet to Decimal Calculator: Convert Feet and Inches
- Total inches
- in
- Result
- Feet
- 5 ft
- You entered
- Inches
- 7 in
- You entered
A feet to decimal calculator converts a measurement in feet and inches into decimal feet, such as 5 feet 7 inches becoming 5.5833 feet. Enter the feet and inch portions separately; the calculator returns decimal feet and, for reference, the equivalent total inches.
Formula
To convert feet and inches to decimal feet, divide the inches by 12, then add that fraction to the number of feet:
Decimal feet = feet + (inches ÷ 12)
- Feet is the whole-foot part of the measurement, in feet (ft).
- Inches is the additional part, in inches (in). There are 12 inches in one foot.
- Decimal feet is the combined length expressed as a decimal number of feet.
The reference output uses the related formula Total inches = (feet × 12) + inches. It expresses the same length entirely in inches.
Worked Example
Using the calculator’s default entries, 5 feet and 7 inches:
- Convert the inches to a fraction of a foot: 7 ÷ 12 = 0.583333… ft.
- Add the 5 whole feet: 5 + 0.583333… = 5.583333… ft.
- Rounded to the calculator’s four decimal places, the result is 5.5833 ft.
- For the reference output, calculate (5 × 12) + 7 = 67 in.
What Decimal Feet Means
Feet and inches are a mixed-unit way of writing length: for example, 5 ft 7 in. Decimal feet write that same length as one number of feet: 5.5833 ft. The digits after the decimal point are a fraction of a foot, not a number of inches. In particular, 5.7 ft does not mean 5 ft 7 in.
Because one foot contains 12 inches, decimal fractions of a foot do not correspond directly to familiar tenths or hundredths of an inch. For example, 0.1 ft is 1.2 in, while 0.01 ft is 0.12 in. A value such as 5.5833 ft is therefore a compact decimal representation of 5 ft 7 in, not a new unit.
When to Use Decimal Feet
Decimal feet are useful when a form, drawing, spreadsheet, or calculation expects a single value in feet rather than separate feet and inches. They also make arithmetic easier when adding or subtracting lengths, provided every measurement uses the same unit.
- Entering measurements: If a field asks for a length in decimal feet, convert the inch portion before entering it.
- Comparing lengths: Put both measurements in decimal feet, inches, or another common unit before comparing.
- Using a spreadsheet: Decimal values can be convenient for formulas, but label the column clearly as feet so it is not mistaken for feet-and-inches notation.
- Checking a conversion: Convert the result back to inches by multiplying decimal feet by 12.
For metric use, multiply feet by 0.3048 to get meters, or by 30.48 to get centimeters. Thus, 5.5833 ft is approximately 1.7017 m, with the displayed value depending on rounding. The exact conversion factor is 1 ft = 0.3048 m.
How to Enter Measurements and Read the Result
Enter the whole-foot portion in the Feet field and the remaining inches in the Inches field. The calculator treats the entries as a total length: for example, 5 and 7 means 5 ft 7 in. Read the first result as decimal feet; use the second result when you need the equivalent total number of inches.
You can also enter an inch value greater than 11. The arithmetic still works: 5 ft 14 in is equivalent to 6 ft 2 in, and the calculator returns 6.1667 ft. For a clearer record, normalize the measurement by carrying every complete 12 inches into the feet portion.
Common Mistakes and Rounding
- Writing inches after a decimal point: The notation 5.7 ft means five and seven-tenths feet, or 5 ft 8.4 in. It is not the same as 5 ft 7 in.
- Dividing by 10 instead of 12: Inches are converted to feet by dividing by 12 because a foot has 12 inches.
- Rounding too early: Keep extra digits during intermediate calculations, then round the final result to the precision your task needs.
- Mixing units in a calculation: Do not add a number in inches directly to a number in feet. Convert both to the same unit first.
- Confusing decimal places with accuracy: Four decimal places describe how the answer is displayed; they do not make an imprecise original measurement more accurate.
For example, rounding 5.583333… ft to 5.58 ft is usually suitable for a rough calculation, but it loses some detail. The rounded value corresponds to 5 ft 6.96 in. Keep the unrounded value when later steps depend on precision.
Frequently Asked Questions
How do I convert feet and inches to decimal feet?
Divide the inches by 12 and add the result to the feet. For 5 ft 7 in, calculate 5 + 7 ÷ 12 = 5.5833 ft when rounded to four decimal places.
What is 5 feet 7 inches in decimal feet?
It is 5.5833 ft to four decimal places. The exact value is 5 7/12 ft.
Is 5.7 feet the same as 5 feet 7 inches?
No. 5.7 ft equals 5 ft 8.4 in because 0.7 × 12 = 8.4. Five feet seven inches is approximately 5.5833 ft.
How do I convert decimal feet back to feet and inches?
Take the whole-number feet, multiply the remaining decimal fraction by 12, and read that result as inches. For 5.5833 ft, the fraction 0.5833 × 12 is about 7 in.
How many inches are in one decimal foot?
One foot is exactly 12 inches. A decimal value such as 0.25 ft is 0.25 × 12 = 3 inches.
Can the inch entry be more than 11?
Yes. The conversion formula accepts any nonnegative inch amount. For standard feet-and-inches notation, however, convert each group of 12 inches into one additional foot.
Related
Formula used
in feet | Feet | ft | 5 | 0 in inches | Inches | in | 7 | 0 out decimal_feet | Decimal feet | ft | feet + inches / 12 | 4 out total_inches | Total inches | in | feet * 12 + inches | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.