4/5 as a Decimal
The fraction 4/5 converted to a decimal, with a step-by-step solution.
How to Convert 4/5 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
4 ÷ 5
- 2
5 does not go into 4, so the whole-number part is 0. Write "0." and continue with a remainder of 4.
0 . …
- 3
Bring down a 0 to make 40. 5 goes into 40 8 times (8 × 5 = 40), remainder 0.
40 ÷ 5 = 8, r 0
Is 4/5 a Terminating or Repeating Decimal?
4/5 is a terminating decimal: the division ends exactly at 0.8 with no repeating digits.
4/5 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.8 |
| Nearest hundredth | 0.80 |
| Nearest thousandth | 0.800 |
4/5 as a Mixed Number
4/5 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 0.8.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
4 ÷ 5 = 0.8
- 2
Multiply by 100 to get the percentage.
0.8 × 100 = 80%
Frequently Asked Questions
What is 4/5 as a decimal?
4/5 as a decimal is 0.8. You get it by dividing the numerator 4 by the denominator 5.
Is 4/5 a terminating or repeating decimal?
4/5 is a terminating decimal — it ends exactly at 0.8 with no repeating digits.
What is 4/5 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 4/5 ≈ 0.800. To the nearest hundredth it is 0.80, and to the nearest tenth it is 0.8.
Is 4/5 a rational number?
Yes. 4/5 is a ratio of two integers (4 over 5), so it is a rational number — even though its decimal form terminates.