Fraction8/13
Fraction8/13
Decimal≈ 0.6153846154exactly 0.(615384)
Percent≈ 61.538462%exactly 61.(538461)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 8/13: 13 has a prime factor other than 2 and 5, so no whole-number multiplier reaches a power of ten. Watch the long division to see what happens instead — the remainders start circling, and once a remainder comes back, the digits must too:
- 80 ÷ 13 = 6remainder 2
- 20 ÷ 13 = 1remainder 7
- 70 ÷ 13 = 5remainder 5
- 50 ÷ 13 = 3remainder 11
- 110 ÷ 13 = 8remainder 6
- 60 ÷ 13 = 4remainder 8— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(615384) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.6153846154
- Percent
- ≈ 61.538462%
- Ratio
- 8 : 13 (part to whole)
- As inches
- 8/13″ = 15.630769 mm
Equivalent fractions
Multiply the top and bottom of 8/13 by the same number and the value does not change:
8/13 = 16/26 = 24/39 = 32/52 = 40/65 = 48/78 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 8/13″ is 15.630769 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 5/8″ | 0.625 | 15.875 | +0.2442 mm |
| 32ths | 5/8″ | 0.625 | 15.875 | +0.2442 mm |
| 64ths | 39/64″ | 0.609375 | 15.4781 | −0.1526 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 8/13 as a decimal?
- 8/13 is 0.6153846154 rounded; exactly, it is the repeating decimal 0.(615384).
- What is 8/13 as a percentage?
- 8/13 is about 61.538462% as a percentage.
- How many millimetres is 8/13 of an inch?
- 8/13 of an inch is 15.630769 mm, computed with the exact definition 1 inch = 25.4 mm.
Related
Fraction–decimal chartThe everyday set, printable.Rule charts16ths, 32nds, 64ths, 128ths.The rulerSee 8/13 in its place.