3/2 as a Decimal

3/2 as a decimal1.5
Decimal (rounded)
1.5
Percent
150%
Simplest form
3/2 = 1 1/2
Type
Terminating decimal

3/2 = 1.5

3/2 as a decimal is 1.5.

Step by step

  1. Divide 3 by 2: 1 whole, remainder 1.
  2. Bring down a 0: 10 ÷ 2 = 5, remainder 0.
  3. Result: 3/2 = 1.5.

Shortcut: 2 divides evenly into 10, so multiply the top and bottom by 5: 3/2 = 15/10 = 1.5. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 3/2 gives a terminating decimal.

Details

Decimal (rounded)
1.5
Percent
150%
Type
Terminating decimal
Equivalent fractions
6/4, 9/6, 12/8
3/2 inch in mm
38.1 mm
Mixed number
1 1/2

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
15/160.9375
19/200.95
31/320.96875
9/81.125
5/41.25
4/31.3̅
3/21.5
5/31.6̅
7/41.75

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Frequently asked questions

What is 3/2 as a decimal?

3/2 = 1.5.

How do you convert 3/2 to a decimal?

Divide 3 by 2. 3 ÷ 2 = 1.5.

What is 3/2 as a percent?

150%.

Is 3/2 a terminating or repeating decimal?

Terminating — the division ends with no remainder.

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