Feet and Inches Calculator | AllCalculators.net (2024)

• Calculators
• Construction

How the Calculator Works:

This Feet and Inches calculator is useful when working with mixed measurements that involve feet and inches, such as in construction, woodworking, or any task where precise measurement adjustments are required.

1. User Input:

   • Enter two sets of measurements: feet and inches. For inches, you can input both whole numbers and fractions (e.g., 3 4/6).
   • Select the operation you want to perform (addition, subtraction, multiplication, or division).

2. Parsing Mixed Fractions:

   • The calculator can handle mixed numbers like 3 4/6 or fractional inches like 4/6. It converts these mixed fractions into decimal form for calculation using the parseMixedFraction() function.
   • For example, 3 4/6 is converted into 3.67 inches.

3. Convert Everything to Inches:

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   • Both feet and inches are converted into inches to simplify the arithmetic operations. This is done by multiplying the feet by 12 (since there are 12 inches in a foot) and then adding the inches value.
   • For instance, 3 feet 3 4/6 inches would be converted to 3 * 12 + 3.67 = 39.67 inches.

4. Perform the Operation:

   • The calculator performs the selected arithmetic operation (addition, subtraction, multiplication, or division) on the two converted values (now both in inches).
   • For example, if adding 39.67 inches and 50.71 inches, the result is 39.67 + 50.71 = 90.38 inches.

5. Convert the Result Back to Feet & Inches:

   • After performing the calculation, the result in inches is converted back into feet and inches. The feet are calculated by dividing the total inches by 12, and the remaining inches are the remainder.
   • For example, 90.38 inches converts to 7 feet 6.38 inches.

6. Display the Result:

   • The result is displayed as a combination of feet and decimal inches (e.g., 7 ft 6.38 in).

Formulas:

1. Converting Feet & Inches to Total Inches:

   $$\text{Total Inches} = (\text{Feet} \times 12) + \text{Inches}$$

   Where:

   • Feet is the whole number of feet.
   • Inches is the sum of the whole number and fractional part of inches.

2. Addition:

   $$\text{Result (inches)} = \text{Total Inches}_1 + \text{Total Inches}_2$$

3. Subtraction:

   $$\text{Result (inches)} = \text{Total Inches}_1 – \text{Total Inches}_2$$

4. Multiplication:

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   • The multiplication is done on the total inches of each input, then divided by 12 to return the result in feet.
   $$\text{Result (inches)} = \frac{\text{Total Inches}_1 \times \text{Total Inches}_2}{12}$$

5. Division:

   • The total inches of one input is divided by the other, returning the result in inches.
   $$\text{Result (inches)} = \frac{\text{Total Inches}_1}{\text{Total Inches}_2}$$

6. Converting Back to Feet and Inches:

   • Feet are calculated by dividing the total inches by 12:
   $$\text{Feet} = \left\lfloor \frac{\text{Result (inches)}}{12} \right\rfloor$$
   • The remaining inches are calculated by taking the modulus of the total inches:
   $$\text{Remaining Inches} = \text{Result (inches)} \mod 12$$

Examples:

Example 1: Addition of Feet and Inches

Input:

• First input: 3 feet 3 4/6 inches
• Second input: 4 feet 2 5/7 inches
• Operation: Addition

Steps:

1. Convert the first input into inches: $$3 \, \text{feet} + 3 \frac{4}{6} \, \text{inches} = 3 \times 12 + 3.67 = 39.67 \, \text{inches}$$
2. Convert the second input into inches: $$4 \, \text{feet} + 2 \frac{5}{7} \, \text{inches} = 4 \times 12 + 2.71 = 50.71 \, \text{inches}$$
3. Add the two values: $$39.67 \, \text{inches} + 50.71 \, \text{inches} = 90.38 \, \text{inches}$$
4. Convert back to feet and inches: $$90.38 \div 12 = 7 \, \text{feet} \, 6.38 \, \text{inches}$$

Output:

• The result is: 7 ft 6.38 in

Example 2: Subtraction of Feet and Inches

Input:

• First input: 5 feet 9 inches
• Second input: 2 feet 4 inches
• Operation: Subtraction

Steps:

1. Convert the first input into inches: $$5\text{feet}+9\text{inches}=5\times 12+9=69\text{inches}$$
2. Convert the second input into inches: $$2\text{feet}+4\text{inches}=2\times 12+4=28\text{inches}$$
3. Subtract the two values: $$69\text{inches}-28\text{inches}=41\text{inches}$$
4. Convert back to feet and inches: $$41÷12=3\text{feet}5\text{inches}$$

Output:

• The result is: 3 ft 5 in

Example 3: Multiplication of Feet and Inches

Input:

• First input: 2 feet 6 inches
• Second input: 3 feet 4 inches
• Operation: Multiply

Steps:

1. Convert the first input into inches: $$2 \, \text{feet} + 6 \, \text{inches} = 2 \times 12 + 6 = 30 \, \text{inches}$$
2. Convert the second input into inches: $$3 \, \text{feet} + 4 \, \text{inches} = 3 \times 12 + 4 = 40 \, \text{inches}$$
3. Multiply the two values and divide by 12 to convert back to feet: $$\frac{30 \, \text{inches} \times 40 \, \text{inches}}{12} = 100 \, \text{feet}$$

Output:

• The result is: 100 ft