1/16 as a Decimal
The fraction 1/16 converted to a decimal, with a step-by-step solution.
How to Convert 1/16 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
1 ÷ 16
- 2
16 does not go into 1, so the whole-number part is 0. Write "0." and continue with a remainder of 1.
0 . …
- 3
Bring down a 0 to make 10. 16 goes into 10 0 times (0 × 16 = 0), remainder 10.
10 ÷ 16 = 0, r 10
- 4
Bring down a 0 to make 100. 16 goes into 100 6 times (6 × 16 = 96), remainder 4.
100 ÷ 16 = 6, r 4
- 5
Bring down a 0 to make 40. 16 goes into 40 2 times (2 × 16 = 32), remainder 8.
40 ÷ 16 = 2, r 8
- 6
Bring down a 0 to make 80. 16 goes into 80 5 times (5 × 16 = 80), remainder 0.
80 ÷ 16 = 5, r 0
Is 1/16 a Terminating or Repeating Decimal?
1/16 is a terminating decimal: the division ends exactly at 0.0625 with no repeating digits.
1/16 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.1 |
| Nearest hundredth | 0.06 |
| Nearest thousandth | 0.063 |
1/16 as a Mixed Number
1/16 is a proper fraction (the numerator is smaller than the denominator), so it is less than 1 and has no whole-number part — its value is just 0.0625.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 16 = 0.0625
- 2
Multiply by 100 to get the percentage.
0.0625 × 100 = 6.25%
Frequently Asked Questions
What is 1/16 as a decimal?
1/16 as a decimal is 0.0625. You get it by dividing the numerator 1 by the denominator 16.
Is 1/16 a terminating or repeating decimal?
1/16 is a terminating decimal — it ends exactly at 0.0625 with no repeating digits.
What is 1/16 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 1/16 ≈ 0.063. To the nearest hundredth it is 0.06, and to the nearest tenth it is 0.1.
Is 1/16 a rational number?
Yes. 1/16 is a ratio of two integers (1 over 16), so it is a rational number — even though its decimal form terminates.