Fraction5/13
Fraction5/13
Decimal≈ 0.3846153846exactly 0.(384615)
Percent≈ 38.461538%exactly 38.(461538)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 5/13: 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:
- 50 ÷ 13 = 3remainder 11
- 110 ÷ 13 = 8remainder 6
- 60 ÷ 13 = 4remainder 8
- 80 ÷ 13 = 6remainder 2
- 20 ÷ 13 = 1remainder 7
- 70 ÷ 13 = 5remainder 5— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(384615) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.3846153846
- Percent
- ≈ 38.461538%
- Ratio
- 5 : 13 (part to whole)
- As inches
- 5/13″ = 9.769231 mm
Equivalent fractions
Multiply the top and bottom of 5/13 by the same number and the value does not change:
5/13 = 10/26 = 15/39 = 20/52 = 25/65 = 30/78 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 5/13″ is 9.769231 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 3/8″ | 0.375 | 9.525 | −0.2442 mm |
| 32ths | 3/8″ | 0.375 | 9.525 | −0.2442 mm |
| 64ths | 25/64″ | 0.390625 | 9.9219 | +0.1526 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 5/13 as a decimal?
- 5/13 is 0.3846153846 rounded; exactly, it is the repeating decimal 0.(384615).
- What is 5/13 as a percentage?
- 5/13 is about 38.461538% as a percentage.
- How many millimetres is 5/13 of an inch?
- 5/13 of an inch is 9.769231 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 5/13 in its place.