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A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include 1 2 , − 8 5 , −8 5 , and 8 −5 .
Subdivisions of an inch are typically written using dyadic fractions with odd number numerators; for example, two and three-eighths of an inch would be written as 2 + 3 / 8 ″ and not as 2.375″ nor as 2 + 6 / 16 ″. However, for engineering purposes fractions are commonly given to three or four places of decimals and have been ...
Sizes are often expressed as a fraction of an inch, with a one in the numerator, and a decimal number in the denominator. For example, 1/2.5 converts to 2/5 as a simple fraction, or 0.4 as a decimal number. This "inch" system gives a result approximately 1.5 times the length of the diagonal of the sensor.
4.2333 mm. The pica is a typographic unit of measure corresponding to approximately 1⁄6 of an inch, or from 1⁄68 to 1⁄73 of a foot. One pica is further divided into 12 points. In printing, three pica measures are used: The French pica of 12 Didot points (also called cicero) generally is: 12 × 0.376 = 4.512 mm (0.1776 in).
Table of length units. 1⁄12 of a ligne. This unit is usually called the Truchet point in English. Prior to the French Revolution the Fournier point was also in use. It was 1⁄6 of a ligne or 1⁄864 of the smaller French foot. 1⁄12 of a pouce. This corresponds to the line, a traditional English unit. 1⁄12 of a pied du roi.
The consistently small terms in its continued fraction explain why the approximants converge so slowly. This makes the golden ratio an extreme case of the Hurwitz inequality for Diophantine approximations , which states that for every irrational ξ {\displaystyle \xi } , there are infinitely many distinct fractions p / q {\displaystyle p/q ...
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