1/23

1 of 23 equal parts filled .

Where the decimal comes from

There is no rewrite over 10, 100 or 1000 for 1/23: 23 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 ÷ 23 = 0remainder 10
2. 100 ÷ 23 = 4remainder 8
3. 80 ÷ 23 = 3remainder 11
4. 110 ÷ 23 = 4remainder 18
5. 180 ÷ 23 = 7remainder 19
6. 190 ÷ 23 = 8remainder 6— …and on it goes; the cycle takes 22 digits to close

Written exactly: ≈ 0.04347826087.

Every way to write it

Decimal

≈ 0.0434782609

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Percent

≈ 4.347826%

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Ratio

1 : 23 (part to whole)

As inches

1/23″ = 1.104348 mm

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Equivalent fractions

Multiply the top and bottom of 1/23 by the same number and the value does not change:

1/23 = 2/46 = 3/69 = 4/92 = 5/115 = 6/138 · more, or pick a denominator

On the number line

As a measurement

Read as inches, 1/23″ is 1.104348 mm exactly. The nearest marks on the finer rules:

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

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