5/12 as a Decimal
5/12 = 0.416̅
5/12 as a decimal is 0.416̅ — the digit 6 repeat forever (≈ 0.416667).
Step by step
- Divide 5 by 12: 0 whole (so the answer starts 0.), remainder 5.
- Bring down a 0: 50 ÷ 12 = 4, remainder 2.
- Bring down a 0: 20 ÷ 12 = 1, remainder 8.
- Bring down a 0: 80 ÷ 12 = 6, remainder 8.
- Bring down a 0: 80 ÷ 12 = 6, remainder 8.
- Bring down a 0: 80 ÷ 12 = 6, remainder 8.
- Bring down a 0: 80 ÷ 12 = 6, remainder 8.
- Result: 5/12 = 0.416̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 12 still has the factor 3, so the division never ends and the remainders cycle. The repeating block “6” has 1 digit; round it to the precision you need, for example 0.42 or 0.4167.
Details
- Decimal (rounded)
- 0.416667
- Percent
- 41.6667%
- Type
- Repeating (6 repeats)
- Equivalent fractions
- 10/24, 15/36, 20/48
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 5/12 as a decimal?
5/12 = 0.416̅, which rounds to 0.4167.
How do you convert 5/12 to a decimal?
Divide 5 by 12. 5 ÷ 12 = 0.416667….
What is 5/12 as a percent?
41.6667%.
Is 5/12 a terminating or repeating decimal?
Repeating — the block “6” repeats forever.