Last updated
Quick Reference: Fraction ↔ Decimal
- 1/4 = 0.25, 1/2 = 0.5, 3/4 = 0.75
- 1/3 = 0.333..., 2/3 = 0.667...
- 1/8 = 0.125, 3/8 = 0.375, 5/8 = 0.625, 7/8 = 0.875
- 1/5 = 0.2, 2/5 = 0.4, 3/5 = 0.6, 4/5 = 0.8
- 1/6 = 0.1667, 5/6 = 0.8333
- 1/7 = 0.142857..., 1/9 = 0.111...
The Fraction to Decimal Converter on TechConverter.me handles all fraction types with full precision, clearly marks repeating decimals with overline notation, and shows the conversion process step by step.
Examples
Example 1: Common Fraction to Decimal Conversions
Halves:
1/2 = 0.5
Thirds:
1/3 = 0.333... (0.3̄)
2/3 = 0.666... (0.6̄)
Quarters:
1/4 = 0.25
3/4 = 0.75
Fifths:
1/5 = 0.2
2/5 = 0.4
3/5 = 0.6
4/5 = 0.8
Eighths (common in US measurements):
1/8 = 0.125
3/8 = 0.375
5/8 = 0.625
7/8 = 0.875
Sixteenths (machining/woodworking):
1/16 = 0.0625
3/16 = 0.1875
5/16 = 0.3125
7/16 = 0.4375
9/16 = 0.5625
11/16 = 0.6875
13/16 = 0.8125
15/16 = 0.9375
Example 2: Repeating Decimals
1/3 = 0.3̄ (3 repeats)
1/6 = 0.1̄6̄ (6 repeats after initial 1)
1/7 = 0.142857̄ (142857 repeats — 6-digit cycle)
1/9 = 0.1̄ (1 repeats)
1/11 = 0.09̄ (09 repeats)
1/12 = 0.083̄ (3 repeats)
2/7 = 0.285714̄ (285714 repeats)
5/6 = 0.83̄ (3 repeats)
The overline notation (x̄) indicates the repeating digit(s).
Example 3: Mixed Number Conversion
2 3/4:
Step 1: Convert to improper fraction: (2×4 + 3)/4 = 11/4
Step 2: Divide: 11 ÷ 4 = 2.75
Result: 2.75
5 1/3:
Step 1: 16/3
Step 2: 16 ÷ 3 = 5.333...
Result: 5.3̄
3 7/8:
Step 1: 31/8
Step 2: 31 ÷ 8 = 3.875
Result: 3.875