13/14

Fraction13/14
Decimal≈ 0.9285714286exactly 0.9(285714)
Percent≈ 92.857143%exactly 92.(857142)%

13 of 14 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 13/14: 14 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. 130 ÷ 14 = 9remainder 4
  2. 40 ÷ 14 = 2remainder 12
  3. 120 ÷ 14 = 8remainder 8
  4. 80 ÷ 14 = 5remainder 10
  5. 100 ÷ 14 = 7remainder 2
  6. 20 ÷ 14 = 1remainder 6— …and on it goes; the cycle takes 6 digits to close

Written exactly: 0.9(285714) — the parentheses mark the block that repeats forever.

Every way to write it

Decimal
≈ 0.9285714286
Percent
≈ 92.857143%
Ratio
13 : 14 (part to whole)
As inches
13/14″ = 23.585714 mm

Equivalent fractions

Multiply the top and bottom of 13/14 by the same number and the value does not change:

13/14 = 26/28 = 39/42 = 52/56 = 65/70 = 78/84 · more, or pick a denominator

On the number line

0 1 13/14

As a measurement

Read as inches, 13/14″ is 23.585714 mm exactly. The nearest marks on the finer rules:

RuleNearest markDecimal inchesmmDifference
16ths15/16″ 0.937523.8125+0.2268 mm
32ths15/16″ 0.937523.8125+0.2268 mm
64ths59/64″ 0.92187523.4156−0.1701 mm

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

Common questions

What is 13/14 as a decimal?
13/14 is 0.9285714286 rounded; exactly, it is the repeating decimal 0.9(285714).
What is 13/14 as a percentage?
13/14 is about 92.857143% as a percentage.
How many millimetres is 13/14 of an inch?
13/14 of an inch is 23.585714 mm, computed with the exact definition 1 inch = 25.4 mm.

Related

Fraction–decimal chartThe everyday set, printable.Rule charts16ths, 32nds, 64ths, 128ths.The rulerSee 13/14 in its place.
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.