8
21
0.(380952)
8/21 as a decimal is 0.(380952)
Repeating
8/21 is 0.(380952), or 38.(095238)%. It repeats with a period of 6 digits.
The digits in brackets repeat for ever. 0.1(6) is 0.16666… and 0.(3) is 0.3333…
Seen as a length
The whole is cut into as many parts as the denominator, and as many are filled as the numerator. The tick marks the halfway point.
- Decimal
- 0.(380952)
- Percent
- 38.(095238)%
- Ratio
- 8 : 13
- Repeating part
- 380952 (6)
- Degrees of a circle
- 137.(142857)°
- Minutes of an hour
- 22.(857142)
- Reciprocal
- 21/8 = 2 5/8
- Equivalent fractions
- 16/42, 24/63, 32/84, 40/105
Same denominator
Nearby values
How to read this
- The digits in brackets repeat for ever — 0.1(6) means 0.16666…
- If the denominator has no prime factors besides 2 and 5, the decimal stops.
- Equal fractions do not get separate pages: looking up 2/4 brings you to 1/2.
- A percentage is the same number times 100; degrees are the same number times 360.
Frequently asked questions
Q. What is 8/21 as a decimal?
0.(380952). The 6 digits in brackets repeat for ever.
Q. What is 8/21 as a percentage?
38.(095238)%.
Q. Which fractions equal 8/21?
16/42, 24/63, 32/84, 40/105 … multiplying top and bottom by the same number leaves the value unchanged.
Q. What is the reciprocal of 8/21?
21/8, or 2 5/8 as a mixed number.