7/13

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

Written exactly: 0.(538461) — the parentheses mark the block that repeats forever.

Every way to write it

Decimal

≈ 0.5384615385

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Percent

≈ 53.846154%

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Ratio

7 : 13 (part to whole)

As inches

7/13″ = 13.676923 mm

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Equivalent fractions

Multiply the top and bottom of 7/13 by the same number and the value does not change:

7/13 = 14/26 = 21/39 = 28/52 = 35/65 = 42/78 · more, or pick a denominator

On the number line

As a measurement

Read as inches, 7/13″ is 13.676923 mm exactly. The nearest marks on the finer rules:

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

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