9/10 as a Decimal

9/10 as a decimal0.9
Decimal (rounded)
0.9
Percent
90%
Simplest form
9/10
Type
Terminating decimal

9/10 = 0.9

9/10 as a decimal is 0.9.

Step by step

  1. Divide 9 by 10: 0 whole (so the answer starts 0.), remainder 9.
  2. Bring down a 0: 90 ÷ 10 = 9, remainder 0.
  3. Result: 9/10 = 0.9.

Shortcut: 10 divides evenly into 10, so multiply the top and bottom by 1: 9/10 = 9/10 = 0.9. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 9/10 gives a terminating decimal.

Details

Decimal (rounded)
0.9
Percent
90%
Type
Terminating decimal
Equivalent fractions
18/20, 27/30, 36/40

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

FractionDecimal
13/150.86̅
7/80.875
8/90.8̅
9/100.9
29/320.90625
10/110.9̅0̅
11/120.916̅
12/130.9̅2̅3̅0̅7̅6̅
13/140.92̅8̅5̅7̅1̅4̅

Related conversions

Frequently asked questions

What is 9/10 as a decimal?

9/10 = 0.9.

How do you convert 9/10 to a decimal?

Divide 9 by 10. 9 ÷ 10 = 0.9.

What is 9/10 as a percent?

90%.

Is 9/10 a terminating or repeating decimal?

Terminating — the division ends with no remainder.

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