5/6 as a Decimal
5/6 = 0.83̅
5/6 as a decimal is 0.83̅ — the digit 3 repeat forever (≈ 0.833333).
Step by step
- Divide 5 by 6: 0 whole (so the answer starts 0.), remainder 5.
- Bring down a 0: 50 ÷ 6 = 8, remainder 2.
- Bring down a 0: 20 ÷ 6 = 3, remainder 2.
- Bring down a 0: 20 ÷ 6 = 3, remainder 2.
- Bring down a 0: 20 ÷ 6 = 3, remainder 2.
- Bring down a 0: 20 ÷ 6 = 3, remainder 2.
- Bring down a 0: 20 ÷ 6 = 3, remainder 2.
- Result: 5/6 = 0.83̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 6 still has the factor 3, so the division never ends and the remainders cycle. The repeating block “3” has 1 digit; round it to the precision you need, for example 0.83 or 0.8333.
Details
- Decimal (rounded)
- 0.833333
- Percent
- 83.3333%
- Type
- Repeating (3 repeats)
- Equivalent fractions
- 10/12, 15/18, 20/24
How it works
A fraction means division: the numerator (top) divided by the denominator (bottom). Use long division, adding zeros after the decimal point until the remainder is zero or a remainder repeats. If the simplified denominator has only 2 and 5 as prime factors, the decimal terminates; otherwise it repeats forever, and the repeating digits are marked with a bar.
Nearby values
Related conversions
Frequently asked questions
What is 5/6 as a decimal?
5/6 = 0.83̅, which rounds to 0.8333.
How do you convert 5/6 to a decimal?
Divide 5 by 6. 5 ÷ 6 = 0.833333….
What is 5/6 as a percent?
83.3333%.
Is 5/6 a terminating or repeating decimal?
Repeating — the block “3” repeats forever.