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Fraction to Decimal Calculator
Your fraction
Example: 3/4 = 0.75, 1/3 = 0.333… (the 3 repeats), and the mixed number 1 1/2 = 1.5.
Behind the numbers
How fractions become decimals
A fraction is a division problem in disguise: the numerator divided by the denominator. Divide 3 by 4 and you get 0.75. Some fractions divide evenly and stop — those are terminating decimals. Others, like 1/3, never stop: the same digit repeats forever, and the bar over the digit shows which part repeats.
3 ÷ 4 = 0.75
1 1/2 = 1 + (1 ÷ 2) = 1.5
The 3 repeats forever, written as 0.3̅ with a bar over the repeating digit.
A few comparisons
Worked examples
| Fraction | Decimal |
|---|---|
| 3/4 | 0.75 |
| 1/2 | 0.5 |
| 1 1/2 | 1.5 |
| 1/3 | 0.333… (repeating) |
| 2/3 | 0.666… (repeating) |
| 5/8 | 0.625 |
| 7/9 | 0.777… (repeating) |
| 1/8 | 0.125 |
Fractions to decimals, without the guesswork.
Any fraction with a denominator of 10, 100, or 1000 converts at a glance: 7/10 = 0.7 and 23/100 = 0.23.
A terminating decimal only happens when the denominator, in lowest terms, has prime factors of 2 and 5 only — that is why 1/3 repeats but 3/4 ends.
To convert a decimal back to a fraction, write it over a power of 10 and simplify: 0.75 = 75/100 = 3/4.
Round only at the end. Rounding 1/3 to 0.33 before multiplying can shift the final answer.
Good to know
Your fraction questions, answered.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3 ÷ 4 = 0.75.
What is a repeating decimal?
A decimal that never ends because the same digit or group of digits repeats forever. For example, 1 ÷ 3 = 0.333…, with the 3 repeating. This calculator marks the repeating part with a bar over the digits.
How do I convert a mixed number to a decimal?
Add the whole number to the fraction converted to a decimal. For example, 1 1/2 = 1 + (1 ÷ 2) = 1.5.
Which fractions give a terminating decimal?
A fraction in lowest terms terminates only when its denominator has no prime factors other than 2 and 5. For example, 3/4 = 0.75 terminates, while 1/3 repeats because 3 is a factor of the denominator.