Fraction10/13
Fraction10/13
Decimal≈ 0.7692307692exactly 0.(769230)
Percent≈ 76.923077%exactly 76.(923076)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 10/13: 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:
- 100 ÷ 13 = 7remainder 9
- 90 ÷ 13 = 6remainder 12
- 120 ÷ 13 = 9remainder 3
- 30 ÷ 13 = 2remainder 4
- 40 ÷ 13 = 3remainder 1
- 10 ÷ 13 = 0remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(769230) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.7692307692
- Percent
- ≈ 76.923077%
- Ratio
- 10 : 13 (part to whole)
- As inches
- 10/13″ = 19.538462 mm
Equivalent fractions
Multiply the top and bottom of 10/13 by the same number and the value does not change:
10/13 = 20/26 = 30/39 = 40/52 = 50/65 = 60/78 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 10/13″ is 19.538462 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 3/4″ | 0.75 | 19.05 | −0.4885 mm |
| 32ths | 25/32″ | 0.78125 | 19.8438 | +0.3053 mm |
| 64ths | 49/64″ | 0.765625 | 19.4469 | −0.0916 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 10/13 as a decimal?
- 10/13 is 0.7692307692 rounded; exactly, it is the repeating decimal 0.(769230).
- What is 10/13 as a percentage?
- 10/13 is about 76.923077% as a percentage.
- How many millimetres is 10/13 of an inch?
- 10/13 of an inch is 19.538462 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 10/13 in its place.