6/13

6 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 6/13: 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. 60 ÷ 13 = 4remainder 8
2. 80 ÷ 13 = 6remainder 2
3. 20 ÷ 13 = 1remainder 7
4. 70 ÷ 13 = 5remainder 5
5. 50 ÷ 13 = 3remainder 11
6. 110 ÷ 13 = 8remainder 6— this remainder has come around before, so from here the digits repeat

Written exactly: 0.(461538) — the parentheses mark the block that repeats forever.

Every way to write it

Decimal

≈ 0.4615384615

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Percent

≈ 46.153846%

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Ratio

6 : 13 (part to whole)

As inches

6/13″ = 11.723077 mm

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Equivalent fractions

Multiply the top and bottom of 6/13 by the same number and the value does not change:

6/13 = 12/26 = 18/39 = 24/52 = 30/65 = 36/78 · more, or pick a denominator

On the number line

As a measurement

Read as inches, 6/13″ is 11.723077 mm exactly. The nearest marks on the finer rules:

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

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