3/8 as a Decimal
The fraction 3/8 converted to a decimal, with a step-by-step solution.
How to Convert 3/8 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
3 ÷ 8
- 2
8 does not go into 3, so the whole-number part is 0. Write "0." and continue with a remainder of 3.
0 . …
- 3
Bring down a 0 to make 30. 8 goes into 30 3 times (3 × 8 = 24), remainder 6.
30 ÷ 8 = 3, r 6
- 4
Bring down a 0 to make 60. 8 goes into 60 7 times (7 × 8 = 56), remainder 4.
60 ÷ 8 = 7, r 4
- 5
Bring down a 0 to make 40. 8 goes into 40 5 times (5 × 8 = 40), remainder 0.
40 ÷ 8 = 5, r 0
Is 3/8 a Terminating or Repeating Decimal?
3/8 is a terminating decimal: the division ends exactly at 0.375 with no repeating digits.
3/8 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.4 |
| Nearest hundredth | 0.38 |
| Nearest thousandth | 0.375 |
3/8 as a Mixed Number
3/8 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 0.375.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
3 ÷ 8 = 0.375
- 2
Multiply by 100 to get the percentage.
0.375 × 100 = 37.5%
Frequently Asked Questions
What is 3/8 as a decimal?
3/8 as a decimal is 0.375. You get it by dividing the numerator 3 by the denominator 8.
Is 3/8 a terminating or repeating decimal?
3/8 is a terminating decimal — it ends exactly at 0.375 with no repeating digits.
What is 3/8 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 3/8 ≈ 0.375. To the nearest hundredth it is 0.38, and to the nearest tenth it is 0.4.
Is 3/8 a rational number?
Yes. 3/8 is a ratio of two integers (3 over 8), so it is a rational number — even though its decimal form terminates.