How to Perform Feet and Inches Arithmetic
Working with US Customary units on construction blueprints requires converting mixed feet and inches into a common baseline (total inches or decimal feet) before performing arithmetic, then converting back to standard tape-measure fractions.
1. Converting Feet & Inches to Total Baseline Inches
Total Inches=(Feet × 12) + Inches;Decimal Feet=Feet +
Inches12
2. Converting Total Inches Back to Feet & Inches
Feet=⌊Total Inches ÷ 12⌋;Remaining Inches=Total Inches modulo 12
Step-by-Step Calculation Breakdown
Step 1: Convert Both Inputs to Baseline Total Inches (5′ 6″ + 3′ 9″)
Measurement 1 = (5 × 12) + 6 = 66 inches (5.500 ft)
Measurement 2 = (3 × 12) + 9 = 45 inches (3.750 ft)
Measurement 2 = (3 × 12) + 9 = 45 inches (3.750 ft)
Step 2: Perform Operation (Addition)
Combined Total Inches = 66″ + 45″ = 111.00 inches
Step 3: Convert Back to Architectural Format & Metric
Result=111 ÷ 12 = 9 ft with 3 in remainder=9′ 3″ (9.25 ft / 281.94 cm / 2.819 m)
Inches & Fractions to Decimal Feet Conversion Table
| Inches (Fraction / Whole) | Decimal Inches | Decimal Feet | Millimeters (mm) |
|---|---|---|---|
| 1/8″ | 0.125″ | 0.0104 ft | 3.175 mm |
| 1/4″ | 0.250″ | 0.0208 ft | 6.350 mm |
| 1/2″ | 0.500″ | 0.0417 ft | 12.700 mm |
| 3/4″ | 0.750″ | 0.0625 ft | 19.050 mm |
| 3″ | 3.000″ | 0.2500 ft | 76.200 mm |
| 6″ | 6.000″ | 0.5000 ft | 152.400 mm |
| 9″ | 9.000″ | 0.7500 ft | 228.600 mm |