Quick Answer
To add feet and inches, add the inches, carry every 12 inches into a foot, then add the feet. 5′ 7 1/2″ + 3′ 9 1/4″ = 8′ 16 3/4″, which is 9′ 4 3/4″ because 16 inches is 1 foot 4 inches. For harder sums with fractions, change everything to inches first, work it out, then change back.
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Table of Contents
- Feet and Inches Calculator
- Quick Answer
- Related Calculators
- How This Feet and Inches Calculator Works
- How to Use the Feet and Inches Calculator
- Feet and Inches Formulas
- Key Terms
- Worked Example
- Real-Life Examples
- Feet and Inches vs Decimal Feet
- Inches as Decimal Feet
- Tips for Measuring
- Everyday Uses
- Common Mistakes to Avoid
- Frequently Asked Questions
- References & Sources
How This Feet and Inches Calculator Works
Enter the first length in feet and inches, choose an operation, then enter the second length or a number. Inches can include fractions, such as 7 1/2 or 9 3/8. The calculator turns every length into inches, does the sum, and turns the answer back into feet and inches rounded to the nearest 1/16 inch (or the fraction you choose). It also gives total inches, decimal feet, yards, meters and centimeters.
Quick explanation: 12 inches make 1 foot.
- Adding: carry each 12 inches into a foot.
- Subtracting: borrow a foot as 12 inches when needed.
- Divide by a length to see how many pieces fit and what is left over.
How to Use the Feet and Inches Calculator
- Enter the first length in feet and inches (fractions allowed).
- Choose add, subtract, multiply, divide, or divide by a length.
- Enter the second length or the number.
- Choose how finely to round fractions.
- Press Calculate to see feet and inches, decimal feet and metric.
Feet and Inches Formulas
- To inches: feet × 12 + inches
- Back to feet and inches: feet = whole part of (inches ÷ 12); inches = the remainder
- Decimal feet: inches ÷ 12
- Metric: inches × 2.54 = centimeters (exact)
- Fractions: round the remainder to the nearest 1/16, 1/8 or 1/4 inch and simplify
Key Terms
- Foot: a length of 12 inches, exactly 0.3048 m.
- Inch: a length of exactly 2.54 cm.
- Fractional inch: part of an inch written as a fraction, such as 3/8 or 5/16.
- Decimal feet: a length in feet written with decimals, such as 7.25 ft.
- Kerf: the width of material a saw blade removes in a cut.
Worked Example
You have a 12 ft board and cut off 4′ 8 3/8″. How much is left?
- 12 ft = 144 inches; 4′ 8 3/8″ = 48 + 8.375 = 56.375 inches
- 144 − 56.375 = 87.625 inches
- 87.625 ÷ 12 = 7 feet with 3.625 inches left over
- The piece left is 7′ 3 5/8″, not counting the width of the saw cut.
Real-Life Examples
- Adding walls: 5′ 7 1/2″ + 3′ 9 1/4″ = 9′ 4 3/4″.
- Cutting a board: 12′ − 4′ 8 3/8″ = 7′ 3 5/8″.
- Repeating a part: six shelves of 2′ 4 1/2″ need 14′ 3″ of board.
- Pieces from a board: an 8 ft board gives 3 pieces of 2′ 6″, with 6″ left over.
Feet and Inches vs Decimal Feet
- Feet and inches (5′ 6″) are used on tape measures, plans and in building.
- Decimal feet (5.5 ft) are used in surveying, estimating and spreadsheets.
- Converting: 6 inches is 0.5 ft, 3 inches is 0.25 ft and 1 inch is about 0.0833 ft.
Inches as Decimal Feet
| Inches | Decimal feet | Inches | Decimal feet |
|---|---|---|---|
| 1″ | 0.0833 | 7″ | 0.5833 |
| 2″ | 0.1667 | 8″ | 0.6667 |
| 3″ | 0.2500 | 9″ | 0.7500 |
| 4″ | 0.3333 | 10″ | 0.8333 |
| 5″ | 0.4167 | 11″ | 0.9167 |
| 6″ | 0.5000 | 12″ | 1.0000 |
Tips for Measuring
Tape measures in the US mark inches in sixteenths, with longer lines for 1/2, 1/4 and 1/8. When cutting several pieces from one board, remember the saw blade removes about 1/8 inch each cut (the kerf), so add it to each piece. For framing, many builders work in total inches and convert at the end, which avoids mistakes carrying feet and inches.
Everyday Uses
Feet and inches come up whenever you measure in a home or workshop: fitting a sofa through a doorway, centering a picture on a wall, laying out cabinets, cutting trim or baseboard, spacing fence posts, or checking whether a fridge fits a gap. Adding up room lengths for flooring or crown molding, and halving a wall length to find its center, are quick with this calculator.
Common Mistakes to Avoid
- Carrying 10 instead of 12. 16 inches is 1 foot 4 inches, not 1 foot 6 inches.
- Writing 5.6 ft for 5′ 6″. 5′ 6″ is 5.5 ft.
- Forgetting the saw kerf when cutting several pieces from one board.
- Mixing fractions and decimals in one number, such as 7.5 1/2.
- Rounding too early. Round only the final answer.
Frequently Asked Questions
Add the inches, carry each 12 inches as a foot, then add the feet.
Change both to inches, subtract, then change back, or borrow 12 inches from a foot.
12 inches.
Divide the inches by 12 and add them to the feet: 5′ 9″ = 5.75 ft.
Yes, such as 7 1/2, 3/8 or 15/16.
Change to inches and multiply by 2.54.
Results are rounded to the nearest 1/16 inch by default; you can choose 1/32, 1/8 or 1/4.
Choose ‘Divide by another length’ to see how many fit and what is left over.
Change to inches, multiply, then change back.
References & Sources
| Source | Used For | Link |
|---|---|---|
| NIST, Guide to the SI, Appendix B.8 | The inch is exactly 2.54 cm and the foot 0.3048 m. | https://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b8 |