2/7

2 of 7 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 2/7: 7 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 ÷ 7 = 2remainder 6
2. 60 ÷ 7 = 8remainder 4
3. 40 ÷ 7 = 5remainder 5
4. 50 ÷ 7 = 7remainder 1
5. 10 ÷ 7 = 1remainder 3
6. 30 ÷ 7 = 4remainder 2— this remainder has come around before, so from here the digits repeat

Written exactly: 0.(285714) — the parentheses mark the block that repeats forever.

Every way to write it

Decimal

≈ 0.2857142857

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Percent

≈ 28.571429%

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Ratio

2 : 7 (part to whole)

As inches

2/7″ = 7.257143 mm

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Equivalent fractions

Multiply the top and bottom of 2/7 by the same number and the value does not change:

2/7 = 4/14 = 6/21 = 8/28 = 10/35 = 12/42 · more, or pick a denominator

On the number line

As a measurement

Read as inches, 2/7″ is 7.257143 mm exactly. The nearest marks on the finer rules:

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

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