Quick Answer: Feet and inches problems are easiest when you convert to inches first. For 6 ft 9 in plus 4 ft 8 in, that is 81 + 56 = 137 inches, or 11 ft 5 in. The same method works for subtraction, multiplication, division and area, as the examples below show.
Key takeaways:
- Convert feet and inches to total inches before any operation.
- After the sum, divide by 12 to return to feet and inches.
- Use decimal feet (inches / 12) for area and cost work.
- Multiply total inches by 2.54 to get centimeters for forms.
- Add a margin for waste on every material estimate.
Learning by Example
Rules are good, but examples make them stick. This article walks through real feet and inches problems from Indian homes, shops and job forms. Each one shows every step, so you can copy the method for your own numbers.
You can check any of these answers with a feet and inches calculator. But try the hand method first. It teaches you what the tool is doing.
The Three Moves You Need
- Change feet and inches to total inches: feet x 12 + inches.
- Do the sum in inches.
- Change back: divide by 12 for feet, keep the remainder as inches.
India officially follows the metric system, set up by the Standards of Weights and Measures Act, 1956 and now supported by the Legal Metrology Act, 2009. Feet and inches live on in daily work, so these three moves are worth knowing well.
Example 1: Adding Two Pieces of Pipe
A plumber in Patna has two pipes: 6 ft 9 in and 4 ft 8 in. He joins them with a coupler that adds no length. What is the total?
- 6 ft 9 in = 81 in
- 4 ft 8 in = 56 in
- Sum = 137 in
- 137 / 12 = 11 remainder 5
The total is 11 ft 5 in.
Example 2: Subtracting a Door From a Wall
A wall is 14 ft 2 in long. A door of 3 ft 4 in is fixed in it. How much solid wall is left?
- 14 ft 2 in = 170 in
- 3 ft 4 in = 40 in
- Difference = 130 in
- 130 / 12 = 10 remainder 10
The solid wall left is 10 ft 10 in. This figure matters when you plan paint, wallpaper or a wardrobe.
Example 3: Multiplying for Repeated Lengths
A school in Bhopal needs 8 benches. Each bench is 5 ft 3 in long. How much wall length will they take if placed end to end?
- 5 ft 3 in = 63 in
- 63 x 8 = 504 in
- 504 / 12 = 42 ft exactly
They need 42 ft 0 in of wall. A hall of 45 ft can hold them with 3 ft to spare.
Example 4: Dividing a Length Into Equal Parts
A florist in Mysuru has a garland string of 17 ft 6 in. She wants to cut it into 7 equal pieces.
- 17 ft 6 in = 210 in
- 210 / 7 = 30 in
- 30 in = 2 ft 6 in
Each piece will be 2 ft 6 in long. Nice numbers like this happen when the total divides well.
Example 5: Area of a Room
Pooja’s bedroom in Chandigarh is 13 ft 3 in by 11 ft 9 in. She wants to know the floor area for paint and flooring.
- 13 ft 3 in = 13 + 3/12 = 13.25 ft
- 11 ft 9 in = 11 + 9/12 = 11.75 ft
- Area = 13.25 x 11.75 = 155.69 sq ft
The floor area is about 155.7 sq ft. At Rs. 70 per sq ft for laminate flooring, the cost is 155.69 x 70 = Rs. 10,898, and with 8 percent wastage the cost becomes about Rs. 11,770.
Summary of Results
| Example | Operation | Answer |
|---|---|---|
| Pipes | 6 ft 9 in + 4 ft 8 in | 11 ft 5 in |
| Wall | 14 ft 2 in – 3 ft 4 in | 10 ft 10 in |
| Benches | 5 ft 3 in x 8 | 42 ft 0 in |
| Garland | 17 ft 6 in / 7 | 2 ft 6 in |
| Bedroom | 13 ft 3 in x 11 ft 9 in | 155.7 sq ft |
Key takeaway: Every example above follows the same three moves: to inches, do the sum, back to feet and inches. If you remember this pattern, you can solve almost any length problem.
Example 6: Height for a Recruitment Form
Sandeep is 5 ft 9 in tall. A notice asks for height in centimeters, with a minimum of 170 cm.
- 5 ft 9 in = 69 in
- 69 x 2.54 = 175.26 cm
- Margin over the limit: 175.26 – 170 = 5.26 cm
He clears the limit by about 5 cm. If you need to go the other way, the centimeters to feet converter turns cm back into feet and inches in one step. Note that the official measuring scale at the centre is the final word.
Example 7: Cloth for a Set of Curtains
Fatima in Lucknow needs curtains for 4 windows. Each window is 4 ft 6 in wide and 5 ft 3 in tall. She wants the fabric to be twice the window width for nice folds, and the length to be the window height plus 9 in for the hem and rod pocket.
- Width per window: 4 ft 6 in = 54 in; 54 x 2 = 108 in = 9 ft 0 in
- Length per curtain: 5 ft 3 in = 63 in; 63 + 9 = 72 in = 6 ft 0 in
- The cloth is sold by the running foot in a 6 ft width, so each window needs a 9 ft run
- Four windows: 9 x 4 = 36 ft of cloth
At Rs. 120 per running foot, the cloth costs 36 x 120 = Rs. 4,320. Her tailor will charge for stitching on top of that. The key point is to match the cloth width to the curtain height before you buy by the foot.
Example 8: Spacing Shelves Evenly
Arun in Ranchi is building a rack that is 6 ft 3 in tall. He will fit 4 boards, each 1 in thick, so the rack has 5 open spaces of equal height.
- Total height: 6 ft 3 in = 75 in
- Thickness lost to boards: 4 x 1 = 4 in
- Open height: 75 – 4 = 71 in
- Each space: 71 / 5 = 14.2 in = 1 ft 2.2 in
Each open space is 1 ft 2.2 in, which is just over 14 inches. That is enough for most books and storage boxes. A carpenter would round this to 14 1/4 in on the tape.
Benefits of Working Through Examples
- You see the pattern. After three or four problems, the steps become automatic.
- You build trust in tools. You can check a calculator with your own hand work.
- You avoid costly errors. A wrong cloth or tile order can cost thousands of rupees.
- You gain speed. With practice, simple sums take seconds.
Challenges and Limitations
Examples are neat, but real life is not. Real measurements come with odd fractions, such as 4 ft 7 5/8 in. Real rooms have window recesses and pillars that change the usable area.
Another issue is that examples hide the time it takes to measure. In practice, getting good readings takes longer than the maths. A sloping floor or a crooked wall can change the numbers by an inch or more.
Finally, prices and rates change by city and season. Rates in these examples are only for practice. Check current local rates before you buy anything.
Common Mistakes to Avoid
- Adding feet and inches without carrying. A total of 5 ft 16 in must be written as 6 ft 4 in.
- Using decimals as inches. 13.25 ft is 13 ft 3 in, not 13 ft 25 in.
- Subtracting the wrong way round. Always subtract the smaller length from the larger one.
- Forgetting to convert for area. Multiply decimal feet, not feet-and-inches strings.
- Ignoring wastage. Orders without a margin often run short.
- Dropping the unit in the answer. Write ft, in or sq ft each time.
Best Practices
- Write each step on a new line so you can find mistakes.
- Say your final answer in both feet-inches and total inches.
- Test the result with a rough mental estimate.
- Use a feet and inches tool for long chains of sums.
- Round money at the end, not in the middle of the work.
- Keep a copy of all measurements and results for later reference.
How to Check Any Answer in 30 Seconds
Whatever the problem, you can test the result with three quick checks.
- Round and guess. Round each length to the nearest foot and do the sum. For 6 ft 9 in plus 4 ft 8 in, think 7 + 5 = 12. The real answer, 11 ft 5 in, is close, so it is believable.
- Reverse the operation. If you added, subtract one length from the answer and see if you get the other. 11 ft 5 in minus 4 ft 8 in should give 6 ft 9 in.
- Check the inches. The inches part of a feet-and-inches answer must always be less than 12. If it is not, you forgot to carry.
These small habits catch most errors before they cost you money. A tailor who checks cloth length twice rarely buys too little, and a carpenter who tests his cuts on paper wastes less timber.
Working with Metric Plans
Many modern plans from architects use metric units, in line with the system India has followed since the late 1950s. A bedroom may be listed as 4.0 m by 3.6 m. To use the examples above, change each side to feet first: 4.0 m is 400 cm, which is 13.12 ft, and 3.6 m is 360 cm, which is 11.81 ft. Multiply and you get about 155 sq ft.
Notice that this is almost the same as Pooja’s room in Example 5. That shows how closely the two systems line up once you convert them with the exact factor of 30.48 cm per foot.
Practice Problems
Try these without looking at the answers.
- Add 7 ft 8 in and 5 ft 9 in.
- Subtract 3 ft 11 in from 9 ft 4 in.
- Divide 20 ft 4 in into 4 equal parts.
The answers are: (1) 92 + 69 = 161 in = 13 ft 5 in. (2) 112 – 47 = 65 in = 5 ft 5 in. (3) 244 / 4 = 61 in = 5 ft 1 in. Check each one by working backward.
Conclusion
Feet and inches maths is not hard once you have seen it done. Change to inches, do the sum, and change back. The eight examples above covered adding, subtracting, multiplying, dividing, area and conversion to centimeters.
Use the pattern in your own home, shop or job forms. When the list gets long, let a calculator handle the work, and keep your own hand check as a safety net.
- Try the free Feet and Inches Calculator →
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Frequently Asked Questions
How do I add 6 ft 9 in and 4 ft 8 in?
Convert both to inches: 81 and 56. The sum is 137 inches. Divide by 12 to get 11 feet and 5 inches left over.
How do I find the area of a 13 ft 3 in by 11 ft 9 in room?
Change each side to decimal feet: 13.25 and 11.75. Multiply them to get about 155.7 square feet.
How do I change feet and inches to centimeters?
Find the total inches and multiply by 2.54. For 5 ft 9 in, that is 69 x 2.54 = 175.26 cm.
What if the inches total more than 12 after adding?
Subtract 12 from the inches and add 1 to the feet. For example, 5 ft 16 in becomes 6 ft 4 in.
Can a calculator check my hand work?
Yes. Do the sum by hand first and then confirm it with a feet and inches calculator. If the two answers match, your method is sound.