5/16 as a Decimal
5/16 = 0.3125
5/16 as a decimal is 0.3125.
Step by step
- Divide 5 by 16: 0 whole (so the answer starts 0.), remainder 5.
- Bring down a 0: 50 ÷ 16 = 3, remainder 2.
- Bring down a 0: 20 ÷ 16 = 1, remainder 4.
- Bring down a 0: 40 ÷ 16 = 2, remainder 8.
- Bring down a 0: 80 ÷ 16 = 5, remainder 0.
- Result: 5/16 = 0.3125.
Shortcut: 16 divides evenly into 10,000, so multiply the top and bottom by 625: 5/16 = 3,125/10,000 = 0.3125. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 5/16 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.3125
- Percent
- 31.25%
- Type
- Terminating decimal
- Equivalent fractions
- 10/32, 15/48, 20/64
- 5/16 inch in mm
- 7.938 mm
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 5/16 as a decimal?
5/16 = 0.3125.
How do you convert 5/16 to a decimal?
Divide 5 by 16. 5 ÷ 16 = 0.3125.
What is 5/16 as a percent?
31.25%.
Is 5/16 a terminating or repeating decimal?
Terminating — the division ends with no remainder.