1/14 as a Decimal
1/14 = 0.07̅1̅4̅2̅8̅5̅
1/14 as a decimal is 0.07̅1̅4̅2̅8̅5̅ — the digits 714285 repeat forever (≈ 0.071429).
Step by step
- Divide 1 by 14: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 14 = 0, remainder 10.
- Bring down a 0: 100 ÷ 14 = 7, remainder 2.
- Bring down a 0: 20 ÷ 14 = 1, remainder 6.
- Bring down a 0: 60 ÷ 14 = 4, remainder 4.
- Bring down a 0: 40 ÷ 14 = 2, remainder 12.
- Bring down a 0: 120 ÷ 14 = 8, remainder 8.
- Result: 1/14 = 0.07̅1̅4̅2̅8̅5̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 14 still has the factor 7, so the division never ends and the remainders cycle. The repeating block “714285” has 6 digits; round it to the precision you need, for example 0.07 or 0.0714.
Details
- Decimal (rounded)
- 0.071429
- Percent
- 7.1429%
- Type
- Repeating (714285 repeats)
- Equivalent fractions
- 2/28, 3/42, 4/56
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 1/14 as a decimal?
1/14 = 0.07̅1̅4̅2̅8̅5̅, which rounds to 0.0714.
How do you convert 1/14 to a decimal?
Divide 1 by 14. 1 ÷ 14 = 0.071429….
What is 1/14 as a percent?
7.1429%.
Is 1/14 a terminating or repeating decimal?
Repeating — the block “714285” repeats forever.