5/3 as a Decimal
5/3 = 1.6̅
5/3 as a decimal is 1.6̅ — the digit 6 repeat forever (≈ 1.666667).
Step by step
- Divide 5 by 3: 1 whole, remainder 2.
- Bring down a 0: 20 ÷ 3 = 6, remainder 2.
- Bring down a 0: 20 ÷ 3 = 6, remainder 2.
- Bring down a 0: 20 ÷ 3 = 6, remainder 2.
- Bring down a 0: 20 ÷ 3 = 6, remainder 2.
- Bring down a 0: 20 ÷ 3 = 6, remainder 2.
- Bring down a 0: 20 ÷ 3 = 6, remainder 2.
- Result: 5/3 = 1.6̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 3 still has the factor 3, so the division never ends and the remainders cycle. The repeating block “6” has 1 digit; round it to the precision you need, for example 1.67 or 1.6667.
Details
- Decimal (rounded)
- 1.666667
- Percent
- 166.6667%
- Type
- Repeating (6 repeats)
- Equivalent fractions
- 10/6, 15/9, 20/12
- Mixed number
- 1 2/3
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 5/3 as a decimal?
5/3 = 1.6̅, which rounds to 1.6667.
How do you convert 5/3 to a decimal?
Divide 5 by 3. 5 ÷ 3 = 1.666667….
What is 5/3 as a percent?
166.6667%.
Is 5/3 a terminating or repeating decimal?
Repeating — the block “6” repeats forever.