5/8 as a Decimal
The fraction 5/8 converted to a decimal, with a step-by-step solution.
How to Convert 5/8 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
5 ÷ 8
- 2
8 does not go into 5, so the whole-number part is 0. Write "0." and continue with a remainder of 5.
0 . …
- 3
Bring down a 0 to make 50. 8 goes into 50 6 times (6 × 8 = 48), remainder 2.
50 ÷ 8 = 6, r 2
- 4
Bring down a 0 to make 20. 8 goes into 20 2 times (2 × 8 = 16), remainder 4.
20 ÷ 8 = 2, 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 5/8 a Terminating or Repeating Decimal?
5/8 is a terminating decimal: the division ends exactly at 0.625 with no repeating digits.
5/8 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.6 |
| Nearest hundredth | 0.63 |
| Nearest thousandth | 0.625 |
5/8 as a Mixed Number
5/8 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 0.625.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
5 ÷ 8 = 0.625
- 2
Multiply by 100 to get the percentage.
0.625 × 100 = 62.5%
Frequently Asked Questions
What is 5/8 as a decimal?
5/8 as a decimal is 0.625. You get it by dividing the numerator 5 by the denominator 8.
Is 5/8 a terminating or repeating decimal?
5/8 is a terminating decimal — it ends exactly at 0.625 with no repeating digits.
What is 5/8 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 5/8 ≈ 0.625. To the nearest hundredth it is 0.63, and to the nearest tenth it is 0.6.
Is 5/8 a rational number?
Yes. 5/8 is a ratio of two integers (5 over 8), so it is a rational number — even though its decimal form terminates.