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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
Unit fraction This page was last edited on 11 September 2023, at 23:27 (UTC). Text is available under the Creative Commons Attribution-ShareAlike 4.0 License ...
The term is defined in The Education (Northern Ireland) Order 2006 as "the period beginning at the same time as the next school year after the end of key stage 1 and ending at the same time as the school year in which the majority of pupils in his class complete three school years in that key stage". [4]
An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1]
[1] [2] Fractions are collected based on differences in a specific property of the individual components. A common trait in fractionations is the need to find an optimum between the amount of fractions collected and the desired purity in each fraction. Fractionation makes it possible to isolate more than two components in a mixture in a single run.
English also tends to use the plural with decimal fractions, even if less than one, as in 0.3 metres, 0.9 children. Common fractions less than one tend to be used with singular expressions: half (of) a loaf, two-thirds of a mile. Negative numbers are usually treated the same as the corresponding positive ones: minus one degree, minus two ...
Simple fractions can sound more harmonious than complex fractions; for instance, an octave is a simple 2:1 ratio and a fifth is the relatively simple 3:2 ratio. The table below gives frequency ratios that are mathematically exact for just intonation , which meantone temperaments seek to approximate.
The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem [1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve.