Feet and Inches Calculator

How to Calculate with Feet and Inches

The feet and inches calculator helps you perform arithmetic operations (addition, subtraction, multiplication, division) with mixed measurements in feet and inches. This is particularly useful for construction, carpentry, and other projects requiring precise length calculations.

Converting Between Units

The key conversions used in feet and inches calculations are:

• 1 foot = 12 inches
• 1 inch = 2.54 centimeters
• 1 foot = 30.48 centimeters

For fractional inches, we use:

\[ \text{Decimal inches} = \frac{\text{Numerator}}{\text{Denominator}} \]

Calculation Steps

1. Convert all measurements to inches
2. Perform the arithmetic operation
3. Convert the result back to feet and inches
4. Simplify fractions if needed

Example Calculation

Let's add two lengths:

• Length 1: 5' 3 1/4"
• Length 2: 2' 8 3/4"

Step-by-step solution:

1. Convert 5' 3 1/4" to inches: \[ (5 \times 12) + 3 + \frac{1}{4} = 63.25 \text{ inches} \]
2. Convert 2' 8 3/4" to inches: \[ (2 \times 12) + 8 + \frac{3}{4} = 32.75 \text{ inches} \]
3. Add the measurements: \[ 63.25 + 32.75 = 96 \text{ inches} \]
4. Convert back to feet and inches: \[ 96 \div 12 = 8 \text{ feet exactly} \]

Visual Representation

This diagram shows the relative lengths of the measurements and their sum, helping visualize how the pieces combine.