Fraction to Decimal Converter
Convert Fraction to Decimal
Fraction to Decimal Converter
How to convert a fraction to a decimal
Example — the form’s default 3/8:
3 ÷ 8 by long division
| remainder | ×10 | = digit × 8 + new remainder | digit |
|---|---|---|---|
| 3 | 30 | 3 × 8 + 6 | 3 |
| 6 | 60 | 7 × 8 + 4 | 7 |
| 4 | 40 | 5 × 8 + 0 | 5 |
The remainder reaches 0 after 3 steps → 0.375 ends.
Divide the numerator by the denominator. If the reduced denominator has only 2s and 5s, the decimal ends; otherwise a remainder comes back and the digits repeat.
See Also
- Decimal to Fraction Converter - Convert Decimal to Fraction
- Decimal to Percent Converter - Convert Decimals to Percentages
- Percent to Decimal Converter - Convert Percents to Decimal
FAQ
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/8 means 3 ÷ 8, which equals 0.375. The division either ends (a terminating decimal) or settles into a repeating pattern.
Why do some fractions become repeating decimals?
A fraction gives a repeating decimal when its denominator (in lowest terms) has a prime factor other than 2 or 5. For example, 1/3 = 0.333… repeats, while 3/8 = 0.375 terminates because 8 = 2×2×2.
How do you convert a mixed number to a decimal?
Convert the fractional part by dividing, then add the whole part. For example, 1 3/8 becomes 3 ÷ 8 = 0.375, plus the whole number 1, giving 1.375.