How to Convert a Fraction to a Decimal
Converting a fraction to a decimal is simple: divide the top number (the numerator) by the bottom number (the denominator). For example, to convert 3/4 to a decimal, divide 3 by 4 to get 0.75. The calculator above does this instantly for any fraction — enter the numerator and denominator, press Calculate, and you get the exact decimal value.
A couple of worked examples: for the fraction 5/8, divide 5 by 8 and the result is 0.625. For 7/10, divide 7 by 10 to get 0.7. Every fraction can be written as a decimal using this same divide-the-top-by-the-bottom method, whether it is a simple fraction like 1/2 or an awkward one like 9/16.
How to Convert a Decimal to a Fraction
To turn a decimal back into a fraction, write the decimal over its place value and then simplify. For 0.75, that is 75/100, which reduces to 3/4. For 0.2, that is 2/10, which reduces to 1/5. Switch the tool above to “Decimal → Fraction” and it does this automatically — reducing the fraction to its lowest terms and showing a mixed number (like 1 1/4) where it makes sense.
Fraction to Decimal Chart
Here are the decimal equivalents of the most common fractions, handy for quick reference:
| Fraction | Decimal | Fraction | Decimal |
|---|---|---|---|
| 1/2 | 0.5 | 1/8 | 0.125 |
| 1/3 | 0.333… | 3/8 | 0.375 |
| 2/3 | 0.666… | 5/8 | 0.625 |
| 1/4 | 0.25 | 7/8 | 0.875 |
| 3/4 | 0.75 | 1/10 | 0.1 |
| 1/5 | 0.2 | 1/16 | 0.0625 |
| 2/5 | 0.4 | 3/16 | 0.1875 |
| 3/5 | 0.6 | 1/32 | 0.03125 |
Why Convert Fractions to Decimals?
Decimals are often easier to work with than fractions, especially when you need to add, compare, or enter values into a calculator or spreadsheet. In woodworking and machining, converting fractional inches such as 1/16″ to 0.0625″ makes measurements far easier to add together accurately. In school, decimals make it simpler to compare test scores and grades. In cooking, finance, and engineering, decimals line up neatly for quick mental math and avoid the mistakes that come from juggling different denominators.
Converting in the other direction is just as useful. A measurement reading of 0.375 inches is much easier to find on a tape measure once you know it equals 3/8″. This is why being able to move quickly between fractions and decimals — in both directions — is such a practical everyday skill.
Terminating vs. Repeating Decimals
Some fractions convert to a clean, terminating decimal: 1/4 becomes exactly 0.25 and 1/8 becomes exactly 0.125. Others produce a repeating decimal, where one or more digits repeat forever — 1/3 becomes 0.3333… and 2/3 becomes 0.6666…. The calculator above rounds repeating decimals to a sensible number of decimal places so the answer stays clean and readable, which is exactly what you need for real-world measurements and everyday math.
Frequently Asked Questions
How do I convert a fraction to a decimal?
Divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75. The calculator above does it instantly.
What is 3/4 as a decimal?
3/4 as a decimal is 0.75. Other common ones: 1/2 = 0.5, 1/4 = 0.25, 5/8 = 0.625.
How do I convert a decimal to a fraction?
Write the decimal over its place value and simplify. 0.75 = 75/100 = 3/4. Use the “Decimal → Fraction” mode above to do it automatically.
Is this fraction to decimal calculator free?
Yes — it is completely free, works in your browser, and requires no signup.
Understanding Repeating Decimals
Not every fraction divides evenly. When the denominator has prime factors other than 2 and 5, the decimal repeats forever. One third becomes 0.3333…, two thirds becomes 0.6666…, and one sixth becomes 0.16666…. Mathematicians write these with a bar over the repeating digits, but for everyday use a sensible rounding is enough. The calculator above rounds long results to a clean number of decimal places so the answer is easy to read and use, while fractions that terminate — like halves, quarters, eighths, and tenths — show their exact value.
A Worked Decimal-to-Fraction Example
Suppose you measure 0.625 and want it as a fraction. Write it over its place value: 625/1000. Then divide the top and bottom by their greatest common factor, 125, to get 5/8. The “Decimal → Fraction” mode does this reduction for you and shows a mixed number when the value is greater than one — for example 1.75 becomes 1 3/4. This is exactly how you move from a digital reading back to a tape-measure-friendly fraction.
Fractions and Decimals in Real Measurements
Tradespeople convert between fractions and decimals constantly. A drill bit marked 0.375 inches is 3/8″. A bolt that is 0.5 inches is exactly 1/2″. Machinists work in “thousandths” (decimals) while tape measures use sixteenths and thirty-seconds (fractions), so a quick converter keeps both worlds in sync. The same is true in cooking, sewing, and 3D printing, where you might need to add a 1/4 here and a 0.2 there and want everything in one consistent format before you do the math.