17/20 as a Decimal
17/20 = 0.85
17/20 as a decimal is 0.85.
Step by step
- Divide 17 by 20: 0 whole (so the answer starts 0.), remainder 17.
- Bring down a 0: 170 ÷ 20 = 8, remainder 10.
- Bring down a 0: 100 ÷ 20 = 5, remainder 0.
- Result: 17/20 = 0.85.
Shortcut: 20 divides evenly into 100, so multiply the top and bottom by 5: 17/20 = 85/100 = 0.85. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 17/20 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.85
- Percent
- 85%
- Type
- Terminating decimal
- Equivalent fractions
- 34/40, 51/60, 68/80
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 17/20 as a decimal?
17/20 = 0.85.
How do you convert 17/20 to a decimal?
Divide 17 by 20. 17 ÷ 20 = 0.85.
What is 17/20 as a percent?
85%.
Is 17/20 a terminating or repeating decimal?
Terminating — the division ends with no remainder.