What is 5/6 as a Decimal?
5/6 as a decimal is 0.8333. You find this by dividing 5 by 6. Because the result repeats, we round it to four places. This guide shows you the simple method step by step.
The fraction 5/6 shows up in grades, recipes, and time problems. Turning it into a decimal makes it easy to use in math. Here is how.
The Quick Answer
Here is 5/6 shown as a fraction, a decimal, and a percent.
| Fraction | Decimal | Percent |
|---|---|---|
| 5/6 | 0.8333... | 83.33% |
So the fraction 5/6 equals about 0.8333 as a decimal. The 3 repeats forever, so we round it.
How to Convert 5/6 to a Decimal (Step by Step)
Turning a fraction into a decimal takes just one main step. Here is how it works for 5/6.
- Divide the top number by the bottom number. Divide 5 by 6.
- Read the result. You get 0.8333, with the 3 repeating without end.
So 5/6 as a decimal is 0.8333 after rounding. A line over the 3 (0.83̅) is another way to show it repeats.
Why This Works
A fraction is really just a division problem in disguise. The line in a fraction means "divide." So 5/6 simply means "5 divided by 6."
Here, 5 is the numerator (top) and 6 is the denominator (bottom). When you divide them, 6 does not go into 5 evenly, so you get a repeating decimal (0.8333...). This is common with fractions that have a denominator like 3, 6, or 9. For more on this, visit Khan Academy, a free and trusted math source.
Try It Yourself
Want to see 5/6 as a percent too? Read our guide on 5/6 as a percent. To convert other fractions fast, use our free Percentage Calculator or our main Scientific Calculator.
Frequently Asked Questions
Is 5/6 equal to 0.8333?
Yes. Dividing 5 by 6 gives 0.8333, with the 3 repeating. We round it to four decimal places to keep it simple.
Why is 5/6 a repeating decimal?
Because 6 does not divide evenly into 5. The division never ends, so the digit 3 repeats forever. Rounding makes the answer easy to use.
What is 5/6 as a percent?
5/6 as a percent is 83.33%. You take the decimal (0.8333) and multiply by 100. Read our full guide on 5/6 as a percent.
How do I turn any fraction into a decimal?
Just divide the top number by the bottom number. The answer is your decimal. This works for every fraction.
Final Answer
5/6 as a decimal is 0.8333. Just divide 5 by 6, and the 3 repeats. With this simple method, you can turn any fraction into a decimal in seconds.