Convert any fraction, improper fraction or mixed number into an exact decimal — with repeating decimals marked clearly.
To convert a fraction to a decimal, divide the top number (numerator) by the bottom number (denominator). For example, 5/8 = 5 ÷ 8 = 0.625. If the division does not end, you get a repeating decimal — 1/3 = 1 ÷ 3 = 0.333…, which we write as 0.3 with a bar over the 3. This calculator shows the exact decimal, the repeating pattern and the working.
Type the numerator (top) and denominator (bottom). For a mixed number such as 2 3/4, add the 2 in the whole-number box. Improper fractions like 11/4 and negative fractions like -7/12 work too. Choose Exact to see the full decimal — including the repeating pattern with a bar — or round to a set number of places. Press Convert, then Copy result if you need it elsewhere.
Divide the numerator by the denominator. If the remainder becomes zero, the decimal terminates (ends), like 5/8 = 0.625. If the remainder starts repeating, the decimal repeats forever, like 1/3 = 0.333… For a mixed number, convert the fraction part and add it to the whole number.
top ÷ bottom= 0.5 1/4 = 0.25 3/4 = 0.75= 0.125 1/5 = 0.2 1/10 = 0.1= 0.3̅ 2/3 = 0.6̅ 1/6 = 0.16̅
| Fraction | Decimal | Type |
|---|---|---|
| 1/2 | 0.5 | Terminating |
| 1/3 | 0.333… | Repeating |
| 2/3 | 0.666… | Repeating |
| 1/4 | 0.25 | Terminating |
| 3/4 | 0.75 | Terminating |
| 1/5 | 0.2 | Terminating |
| 2/5 | 0.4 | Terminating |
| 3/5 | 0.6 | Terminating |
| 4/5 | 0.8 | Terminating |
| 1/6 | 0.1666… | Repeating |
| 5/6 | 0.8333… | Repeating |
| 1/7 | 0.142857… | Repeating |
| 1/8 | 0.125 | Terminating |
| 3/8 | 0.375 | Terminating |
| 5/8 | 0.625 | Terminating |
| 7/8 | 0.875 | Terminating |
| 1/9 | 0.111… | Repeating |
| 1/10 | 0.1 | Terminating |
| 1/12 | 0.0833… | Repeating |
| 1/16 | 0.0625 | Terminating |
| Fraction | Decimal | Percent |
|---|---|---|
| 1/4 | 0.25 | 25% |
| 1/2 | 0.5 | 50% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 5/8 | 0.625 | 62.5% |
| 1/3 | 0.333… | 33.33…% |
| Fraction | Decimal |
|---|---|
| 2 1/2 | 2.5 |
| 3 1/4 | 3.25 |
| 1 1/3 | 1.333… |
| -7/12 | -0.5833… |
| 22/7 | 3.142857… |
Turning fractions into decimals is needed all the time: reading a tape-measure fraction like 5/8 in as 0.625 in for a digital tool, converting recipe amounts, working out prices and discounts, entering fractions into a spreadsheet or calculator that expects decimals, and comparing sizes (is 5/8 bigger than 0.6? yes, it is 0.625). Engineers, tradespeople, students and cooks all use this conversion.
1) 0.5 2) 0.75 3) 0.2 4) 0.625 5) 0.7
1) 0.875 2) 2.75 3) 0.666… 4) 0.5833… 5) -0.8333…
How do you convert a fraction to a decimal?
Divide the numerator (top number) by the denominator (bottom number). For example, 5/8 = 5 ÷ 8 = 0.625.
What is 5/8 as a decimal?
5/8 is 0.625, because 5 ÷ 8 = 0.625. It is a terminating decimal.
What is 3/4 as a decimal?
3/4 is 0.75, because 3 ÷ 4 = 0.75.
What is 1/3 as a decimal?
1/3 is 0.333…, a repeating decimal often written as 0.3 with a bar over the 3. The 3 continues forever.
What is 7/8 as a decimal?
7/8 is 0.875, because 7 ÷ 8 = 0.875.
How do you convert a mixed number to a decimal?
Keep the whole number, convert the fraction part by dividing, then add them. For 2 3/4, 3 ÷ 4 = 0.75, so 2 3/4 = 2.75.
How do you know if a fraction gives a terminating decimal?
Simplify the fraction first. If the denominator's only prime factors are 2 and 5, the decimal terminates. Any other factor, like 3 or 7, makes it repeat.
What is a repeating decimal?
A repeating decimal has one or more digits that repeat forever, like 0.333… or 0.142857… A bar over the digits shows which part repeats.
What is 2/3 as a decimal?
2/3 is 0.666…, a repeating decimal written as 0.6 with a bar over the 6.
How do you convert a fraction to a percent?
Convert the fraction to a decimal, then multiply by 100. So 5/8 = 0.625 = 62.5%.
Can this calculator handle improper fractions?
Yes. An improper fraction such as 11/4 converts to 2.75, and the calculator also shows it works for values above 1.
Can it handle negative fractions?
Yes. Enter a minus sign, for example -7/12, and the decimal keeps the sign: -0.5833…
What does the bar over the digits mean?
The bar (overline) marks the block of digits that repeats forever. So 0.3 with a bar over the 3 means 0.3333… continuing without end.
Why does 1/8 terminate but 1/3 repeat?
A fraction terminates only when its simplified denominator has no prime factors other than 2 and 5. The denominator 8 is 2×2×2, so 1/8 ends at 0.125. The denominator 3 has a factor of 3, so 1/3 repeats forever as 0.333…
Why do some fractions never end as decimals?
When the denominator has a factor other than 2 or 5, the long division never reaches a zero remainder, so the digits repeat forever instead of stopping.
Is this Fraction to Decimal Calculator free?
Yes. It is free with no sign-up, works on any device, and runs in your browser so your entries stay private.