Fraction to Decimal Converter
3/8 = 0.375 · 1/4 = 0.25 · 1/2 = 0.5
CookingHow to Use This Tool
Fraction ↔ Decimal Conversion
This tool converts fractions (like 3/8) to decimals (0.375) and back. It supports:
- Simple fractions: 3/8, 5/16, 7/32
- Mixed numbers: 1 3/4, 2 5/8
- Decimals: 0.375, 1.625, 2.5
How Decimal-to-Fraction Works
When you enter a decimal, the converter finds the closest fraction with a denominator up to 64. For example:
- 0.375 → 3/8 (exact)
- 0.333 → 1/3 (approximate)
- 0.625 → 5/8 (exact)
- 1.25 → 1 1/4 (exact)
Common Fractions Reference
| Fraction | Decimal | Fraction | Decimal |
|---|---|---|---|
| 1/8 | 0.125 | 5/8 | 0.625 |
| 1/4 | 0.25 | 3/4 | 0.75 |
| 3/8 | 0.375 | 7/8 | 0.875 |
| 1/2 | 0.5 | 1/3 | 0.333… |
Formula & Explanation
To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, find the smallest denominator (up to 64) such that numerator/denominator is closest to the decimal value.
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Frequently Asked Questions
How do I convert 3/8 to a decimal?
Divide 3 by 8: 3 u00f7 8 = 0.375. So 3/8 = 0.375 exactly.
How do I convert 0.625 to a fraction?
0.625 = 625/1000. Reduce by dividing both by 125: 5/8. So 0.625 = 5/8.
What's a mixed number?
A mixed number combines a whole number and a fraction, like '1 3/4' (one and three-quarters). It equals 1 + 3/4 = 1.75 in decimal form.
Why does 1/3 show as 0.333...?
1 divided by 3 is 0.3333... (repeating infinitely). Our converter rounds to 6 decimal places, so you'll see 0.333333. When converting back, we find the closest fraction with denominator u2264 64, which gives 1/3.