7/8 as a Decimal
7/8 = 0.875
7/8 as a decimal is 0.875.
Step by step
- Divide 7 by 8: 0 whole (so the answer starts 0.), remainder 7.
- Bring down a 0: 70 ÷ 8 = 8, remainder 6.
- Bring down a 0: 60 ÷ 8 = 7, remainder 4.
- Bring down a 0: 40 ÷ 8 = 5, remainder 0.
- Result: 7/8 = 0.875.
Shortcut: 8 divides evenly into 1,000, so multiply the top and bottom by 125: 7/8 = 875/1,000 = 0.875. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 7/8 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.875
- Percent
- 87.5%
- Type
- Terminating decimal
- Equivalent fractions
- 14/16, 21/24, 28/32
- 7/8 inch in mm
- 22.225 mm
How it works
A fraction means division: the numerator (top) divided by the denominator (bottom). Use long division, adding zeros after the decimal point until the remainder is zero or a remainder repeats. If the simplified denominator has only 2 and 5 as prime factors, the decimal terminates; otherwise it repeats forever, and the repeating digits are marked with a bar.
Nearby values
Related conversions
Frequently asked questions
What is 7/8 as a decimal?
7/8 = 0.875.
How do you convert 7/8 to a decimal?
Divide 7 by 8. 7 ÷ 8 = 0.875.
What is 7/8 as a percent?
87.5%.
Is 7/8 a terminating or repeating decimal?
Terminating — the division ends with no remainder.