Fraction to Decimal Calculator
Our fraction to decimal calculator turns any fraction or mixed number into a decimal and a percent as you type. It also flags repeating decimals, shows the simplest form and doubles as a decimal to fraction calculator. Type 7/8 to see 0.875 or type 0.35 to get 7/20.
How to Calculate Fraction to Decimal
A fraction is a division that has not been done yet. The top number is the numerator and the bottom number is the denominator. Divide the numerator by the denominator and the answer is the decimal. So 7/8 means 7 divided by 8, which is 0.875.
The same rule holds for any fraction. A value such as 22/7 comes out at 3.1428571429, a rough value of pi. No other formula is needed.
Long Division by Hand
Take 5/16 as an example. Since 16 does not go into 5, write 0 and a point, then divide 50 by 16. That gives 3 with 2 left, then 1 with 4 left, 2 with 8 left and 5 with nothing left. The digits read 0.3125.
Using the Fraction to Decimal Calculator
- Type a fraction such as 3/8 or a mixed number such as 2 3/4 in the first box.
- Read the decimal, the percent and the decimal type on the right.
- Check the simplest form, which reduces 6/8 to 3/4 for you.
- Type any decimal in the second box to use the decimal to fraction calculator.
Results update as you type, so the Convert button is only a backup. Negative values work too, and -1 1/2 returns -1.5. The fraction to decimal calculator shows up to 10 decimal places before it rounds.
Terminating and Repeating Decimals
Some fractions end after a few digits and others repeat forever. A fraction ends when its denominator, in lowest terms, has no prime factors other than 2 and 5. That is why 3/8 stops at 0.375 while 1/3 never stops. Our fraction to decimal converter checks this rule for every input.
When a decimal repeats, the tool puts the repeating block in brackets. It shows 1/3 as 0.(3) and 5/6 as 0.8(3), where only the 3 repeats. A fraction like 1/7 repeats the six digits 142857, so the result reads 0.(142857) with a note on the cycle length.
Rounding can make a repeating value look exact. Long cycles are normal too, and 1/97 repeats every 96 digits. The fraction to decimal calculator prints the whole cycle.
Mixed Numbers and Improper Fractions
A mixed number joins a whole number and a fraction, such as 2 3/4. Our tool works as a mixed fraction calculator and reads the space between the parts. It turns 2 3/4 into the improper fraction 11/4 and then divides to get 2.75.
Improper fractions go the other way. When you enter 9/4, the simplest form box shows 9/4 = 2 1/4 and the decimal reads 2.25. That makes the mixed fraction calculator handy for recipes and woodwork, where mixed numbers are common.
Decimal to Fraction Calculator
The second box works as a decimal to fraction calculator. It writes the decimal over a power of 10 and then reduces it. For 0.875 that means 875/1000, and dividing both parts by 125 gives 7/8. A value of 0.35 becomes 35/100 and then 7/20.
Whole numbers and values above 1 work as well. Typing 1.25 returns 5/4 = 1 1/4, and 0.0625 returns 1/16. The decimal to fraction calculator accepts up to 12 decimal places, which covers almost any value.
A Note on Repeating Values
A typed decimal is always treated as exact. So 0.333 returns 333/1000 and not 1/3, because 0.333 is not quite one third. If you know a value repeats, enter the fraction in the first box instead. The decimal to fraction calculator never guesses what you meant.
Common Fraction to Decimal Chart
These are the values people look up most often in a fraction to decimal calculator. Each row shows the fraction, its decimal and its percent. Repeating values carry brackets around the part that repeats.
| Fraction | Decimal | Percent |
| 1/2 | 0.5 | 50% |
| 1/3 | 0.(3) | 33.33% |
| 2/3 | 0.(6) | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/6 | 0.1(6) | 16.67% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
| 1/16 | 0.0625 | 6.25% |
Where Fraction Conversions Help
Tape measures in the US mark inches in eighths and sixteenths. A reading of 5/8 inch is 0.625 inch, the form most drawings use. You can then change it to millimeters with our unit converter. Machinists and home builders do this conversion every day.
Money and grades lean on the same skill. A test score of 17/20 is 0.85, or 85 percent. A price cut of 1/4 means 25 percent off, and 3/5 of a budget is 60 percent. A fraction and decimal calculator gives all of these in one step.
Cooks meet fractions on every recipe card. Scaling 3/4 cup by 1.5 is easier once you know 3/4 is 0.75, since 0.75 times 1.5 is 1.125 cups. The fractions to decimals calculator also shows 1.125 as 9/8 = 1 1/8 when you type it into the decimal to fraction calculator.
Tips to Avoid Mistakes
- Put the numerator on top, since 3/8 is 0.375 but 8/3 is 2.6666666667.
- Reduce the fraction first when you work by hand, because 6/8 and 3/4 both give 0.75.
- Keep repeating decimals as fractions until the last step of a sum.
- Leave a space between the whole number and the fraction in a mixed number.
- Use the decimal to fraction calculator to check a fraction you worked out by hand.
A fraction to decimal calculator removes the slips, but these habits help on paper. Teachers often want the working as well as the answer. Knowing the steps helps you spot a wrong result fast.
Why Use Our Converter
Our fraction to decimal calculator handles simple fractions, mixed numbers and negative values in one place. It also works as a fractions to decimals calculator for homework sets and a quick fraction and decimal calculator for everyday checks. Everything runs in your browser, so your numbers stay on your device. Convert your next fraction now.
Frequently asked questions
How to calculate fraction to decimal without a calculator?
Divide the numerator by the denominator using long division.
Is this fraction to decimal calculator free?
Yes, it is free with no sign up and no limit.
What is 3/8 as a decimal?
It is 0.375, or 37.5 percent.
Why does 1/3 never end as a decimal?
Its denominator has a factor of 3, so the digit 3 repeats forever.
Can I convert a mixed number?
Yes, type it with a space, such as 2 3/4, to get 2.75.
How does the decimal to fraction calculator work?
It writes the decimal over a power of 10 and reduces it to lowest terms.
What is 0.6 as a fraction?
It equals 6/10, which reduces to 3/5.
Does the fraction to decimal converter handle negative fractions?
Yes, typing -7/4 returns -1.75.
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