7/8 as a Decimal
The fraction 7/8 converted to a decimal, with a step-by-step solution.
How to Convert 7/8 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
7 ÷ 8
- 2
8 does not go into 7, so the whole-number part is 0. Write "0." and continue with a remainder of 7.
0 . …
- 3
Bring down a 0 to make 70. 8 goes into 70 8 times (8 × 8 = 64), remainder 6.
70 ÷ 8 = 8, 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 7/8 a Terminating or Repeating Decimal?
7/8 is a terminating decimal: the division ends exactly at 0.875 with no repeating digits.
7/8 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.9 |
| Nearest hundredth | 0.88 |
| Nearest thousandth | 0.875 |
7/8 as a Mixed Number
7/8 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 0.875.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
7 ÷ 8 = 0.875
- 2
Multiply by 100 to get the percentage.
0.875 × 100 = 87.5%
Frequently Asked Questions
What is 7/8 as a decimal?
7/8 as a decimal is 0.875. You get it by dividing the numerator 7 by the denominator 8.
Is 7/8 a terminating or repeating decimal?
7/8 is a terminating decimal — it ends exactly at 0.875 with no repeating digits.
What is 7/8 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 7/8 ≈ 0.875. To the nearest hundredth it is 0.88, and to the nearest tenth it is 0.9.
Is 7/8 a rational number?
Yes. 7/8 is a ratio of two integers (7 over 8), so it is a rational number — even though its decimal form terminates.