Fraction to Decimal Converter
3/4 as a decimal is 0.75. This converter turns a fraction into a decimal or a decimal into a simplified fraction. Enter a numerator and denominator to divide them, or enter a decimal to get the reduced fraction. It handles proper fractions, improper fractions, and negative values.
Quick answer
A fraction is just the numerator divided by the denominator.
Decimal
0.75
What this tells you
- •A fraction is just the numerator divided by the denominator.
- •Decimals are rounded to 6 places, so repeating decimals are shown to that point.
- •Decimal to fraction results are reduced to lowest terms.
- •Negative and improper fractions both work.
How to Use
- 1Choose whether you are converting a fraction or a decimal.
- 2For a fraction, enter the numerator and denominator.
- 3For a decimal, enter the decimal value.
- 4Read the converted result below.
How It Works
Formula
decimal = numerator / denominatorTo turn a fraction into a decimal, divide the numerator by the denominator. To turn a decimal into a fraction, write it over a power of 10 based on its decimal places, then reduce by the greatest common divisor. For example, 0.75 is 75/100, which reduces to 3/4.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Convert 3/4 to a decimal
3 divided by 4 is 0.75.
Convert 0.625 to a fraction
0.625 is 625/1000, which reduces to 5/8.
Common Fraction and Decimal Equivalents
Frequently used fractions with their decimal values.
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333333 |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 1/8 | 0.125 |
| 5/8 | 0.625 |
| 2/3 | 0.666667 |
Repeating decimals such as 1/3 are rounded to 6 places.
Common mistakes
- Dividing the denominator by the numerator. The decimal is the numerator divided by the denominator, so 3/4 is 3 divided by 4.
- Forgetting to reduce a fraction. 0.5 is 1/2, not 5/10, once you simplify.
- Treating a rounded repeating decimal as exact. 1/3 shows as 0.333333, but it actually repeats forever.