1/13

1 of 13 equal parts filled — the same share as a bar and as a circle.

Where the decimal comes from

There is no rewrite over 10, 100 or 1000 for 1/13: 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:

1. 10 ÷ 13 = 0remainder 10
2. 100 ÷ 13 = 7remainder 9
3. 90 ÷ 13 = 6remainder 12
4. 120 ÷ 13 = 9remainder 3
5. 30 ÷ 13 = 2remainder 4
6. 40 ÷ 13 = 3remainder 1— this remainder has come around before, so from here the digits repeat

Written exactly: 0.(076923) — the parentheses mark the block that repeats forever.

Every way to write it

Decimal

≈ 0.0769230769

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Percent

≈ 7.692308%

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Ratio

1 : 13 (part to whole)

As inches

1/13″ = 1.953846 mm

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Equivalent fractions

Multiply the top and bottom of 1/13 by the same number and the value does not change:

1/13 = 2/26 = 3/39 = 4/52 = 5/65 = 6/78 · more, or pick a denominator

On the number line

As a measurement

Read as inches, 1/13″ is 1.953846 mm exactly. The nearest marks on the finer rules:

Need a different rule or a tolerance? Nearest fraction · Within tolerance

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