2/3

2 of 3 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 2/3: 3 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. 20 ÷ 3 = 6remainder 2— this remainder has come around before, so from here the digits repeat

Written exactly: 0.(6) — the parentheses mark the block that repeats forever.

Every way to write it

Decimal

≈ 0.6666666667

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Percent

≈ 66.666667%

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Ratio

2 : 3 (part to whole)

As inches

2/3″ = 16.933333 mm

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Equivalent fractions

Multiply the top and bottom of 2/3 by the same number and the value does not change:

2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18 · more, or pick a denominator

On the number line

As a measurement

Read as inches, 2/3″ is 16.933333 mm exactly. The nearest marks on the finer rules:

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

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