Convert any decimal — terminating or repeating — into a simplified fraction, improper fraction and mixed number.
To convert a terminating decimal to a fraction, write the digits over their place value (10, 100, 1000 and so on), then divide the top and bottom by their greatest common factor to simplify. For example, 0.75 = 75/100 = 3/4. Repeating decimals such as 0.333… use a short algebra step and give exact fractions like 1/3. This calculator shows the full working and the mixed-number form.
For 0.1666…, enter 0.1 as the non-repeating part and 6 as the repeating digits (shown as 0.1(6)). For 0.333…, enter 0 and 3.
On the Terminating tab, type a decimal such as 0.625, 1.25 or -2.75 and press Convert. On the Repeating tab, type the part before the repeat and the digits that repeat — for 0.1666… enter 0.1 and 6. The result shows the simplified fraction, the improper fraction and the mixed number, with steps. Use Copy result to reuse the answer.
For a terminating decimal, the number of decimal places tells you the place value: one place is tenths (÷10), two is hundredths (÷100), three is thousandths (÷1000). Write the digits over that value and simplify. For a pure repeating decimal, each repeating digit matches a 9 on the bottom — so 0.333… is 3/9 = 1/3, and 0.7272… is 72/99 = 8/11. When some digits do not repeat, put a 9 for each repeating digit followed by a 0 for each non-repeating digit, and subtract the non-repeating digits on top: 0.1666… = (16 − 1) ÷ 90 = 15/90 = 1/6.
= ÷10 2 places = ÷100 3 places = ÷1000divide top & bottom by the GCF= 1/2 0.25 = 1/4 0.75 = 3/4= 1/8 0.2 = 1/5 0.1 = 1/10= 1/3 0.666… = 2/3
| Decimal | Fraction | Simplest form |
|---|---|---|
| 0.1 | 1/10 | 1/10 |
| 0.125 | 125/1000 | 1/8 |
| 0.2 | 2/10 | 1/5 |
| 0.25 | 25/100 | 1/4 |
| 0.3 | 3/10 | 3/10 |
| 0.333… | 3/9 | 1/3 |
| 0.375 | 375/1000 | 3/8 |
| 0.4 | 4/10 | 2/5 |
| 0.5 | 5/10 | 1/2 |
| 0.6 | 6/10 | 3/5 |
| 0.625 | 625/1000 | 5/8 |
| 0.666… | 6/9 | 2/3 |
| 0.75 | 75/100 | 3/4 |
| 0.8 | 8/10 | 4/5 |
| 0.875 | 875/1000 | 7/8 |
| 0.9 | 9/10 | 9/10 |
| 1.25 | 125/100 | 1 1/4 (5/4) |
| 1.5 | 15/10 | 1 1/2 (3/2) |
| 1.75 | 175/100 | 1 3/4 (7/4) |
| 2.25 | 225/100 | 2 1/4 (9/4) |
| 2.5 | 25/10 | 2 1/2 (5/2) |
| 2.75 | 275/100 | 2 3/4 (11/4) |
| Decimal | Improper fraction | Mixed number |
|---|---|---|
| 1.25 | 5/4 | 1 1/4 |
| 1.5 | 3/2 | 1 1/2 |
| 2.75 | 11/4 | 2 3/4 |
| 3.2 | 16/5 | 3 1/5 |
| 4.5 | 9/2 | 4 1/2 |
| Repeating decimal | Fraction |
|---|---|
| 0.333… | 1/3 |
| 0.666… | 2/3 |
| 0.1666… | 1/6 |
| 0.8333… | 5/6 |
| 0.142857… | 1/7 |
| 0.2727… | 3/11 |
Converting decimals to fractions is everyday work in construction and woodworking (a tape measure reads 0.375 in as 3/8 in), engineering drawings, cooking and baking (0.25 of a cup is 1/4 cup), classroom mathematics, DIY projects and any measurement task where fractions are the natural unit. Fractions are often easier to read on a ruler or in a recipe than a string of decimals.
1) 1/2 2) 1/4 3) 1/5 4) 3/4 5) 3/5
1) 7/8 2) 2 3/4 3) 2/3 4) 5/6 5) -1 3/5
How do you convert a decimal to a fraction?
Write the digits after the point over their place value — 10 for one place, 100 for two, 1000 for three — then divide the top and bottom by their greatest common factor to simplify. For example, 0.75 = 75/100 = 3/4.
What is 0.75 as a fraction?
0.75 is 3/4. It starts as 75/100, and dividing both by their GCF of 25 gives 3/4.
What is 0.125 as a fraction?
0.125 is 1/8. As 125/1000, dividing both by the GCF of 125 gives 1/8.
What is 0.625 as a fraction?
0.625 is 5/8. It begins as 625/1000, and dividing both by 125 gives 5/8.
What is 1.25 as a fraction?
1.25 is 5/4 as an improper fraction, or 1 1/4 as a mixed number. As 125/100 it simplifies to 5/4.
How do you simplify a decimal fraction?
Find the greatest common factor of the numerator and denominator, then divide both by it. Repeat until no number other than 1 divides both — that is the simplest form.
How do you convert a repeating decimal to a fraction?
Put the repeating block over the same number of 9s. So 0.333… is 3/9 = 1/3, and 0.7272… is 72/99 = 8/11. When some digits do not repeat, the calculator adjusts the bottom number with extra zeros.
What is 0.333… as a fraction?
0.333… is 1/3. One repeating digit goes over one 9, giving 3/9, which simplifies to 1/3.
What is 0.5 as a fraction?
0.5 is 1/2, because 0.5 is 5/10 and dividing both by 5 gives 1/2.
What is the difference between an improper fraction and a mixed number?
An improper fraction has a top number larger than the bottom, like 5/4. A mixed number writes the same value as a whole number plus a fraction, like 1 1/4. They are equal — just written differently.
How do you write a decimal as a mixed number?
Keep the whole-number part, convert the decimal part to a fraction, then simplify. 3.2 becomes 3 and 2/10, which simplifies to 3 1/5.
Can every decimal be written as a fraction?
Every terminating decimal and every repeating decimal can, because they are rational numbers. Decimals that never end and never repeat, such as pi, are irrational and cannot be written as an exact fraction.
What is a terminating decimal versus a repeating decimal?
A terminating decimal ends after a set number of digits, like 0.625. A repeating decimal has one or more digits that repeat forever, like 0.333… Both convert to exact fractions.
Can this calculator handle negative decimals?
Yes. Put a minus sign in front, such as -2.75, and the result keeps the sign: -2.75 = -11/4 = -2 3/4.
Is this Decimal to Fraction Calculator free?
Yes. It is free with no sign-up, works on any device, and runs in your browser so your entries stay private.