9/8 as a Decimal
9/8 = 1.125
9/8 as a decimal is 1.125.
Step by step
- Divide 9 by 8: 1 whole, remainder 1.
- Bring down a 0: 10 ÷ 8 = 1, remainder 2.
- Bring down a 0: 20 ÷ 8 = 2, remainder 4.
- Bring down a 0: 40 ÷ 8 = 5, remainder 0.
- Result: 9/8 = 1.125.
Shortcut: 8 divides evenly into 1,000, so multiply the top and bottom by 125: 9/8 = 1,125/1,000 = 1.125. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 9/8 gives a terminating decimal.
Details
- Decimal (rounded)
- 1.125
- Percent
- 112.5%
- Type
- Terminating decimal
- Equivalent fractions
- 18/16, 27/24, 36/32
- 9/8 inch in mm
- 28.575 mm
- Mixed number
- 1 1/8
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 9/8 as a decimal?
9/8 = 1.125.
How do you convert 9/8 to a decimal?
Divide 9 by 8. 9 ÷ 8 = 1.125.
What is 9/8 as a percent?
112.5%.
Is 9/8 a terminating or repeating decimal?
Terminating — the division ends with no remainder.