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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 .
u+00be ¾ vulgar fraction three quarters The "one-half" symbol has its own code point as a precomposed character in the Number Forms block of Unicode , rendering as ½ . The reduced size of this symbol may make it illegible to readers with relatively mild visual impairment ; consequently the decomposed forms 1 ⁄ 2 or 1 / 2 may be more ...
In analogy, the inhalable dust fraction is the fraction of dust entering the nose and mouth which may be deposited anywhere in the respiratory tract. The thoracic fraction is the fraction that enters the thorax and is deposited within the lung's airways. The respirable fraction is what is deposited in the gas exchange regions (alveoli). [154]
Fractions are written as two integers, the numerator and the denominator, with a dividing bar between them. The fraction m / n represents m parts of a whole divided into n equal parts. Two different fractions may correspond to the same rational number; for example 1 / 2 and 2 / 4 are equal, that is:
But every number, including π, can be represented by an infinite series of nested fractions, called a continued fraction: = + + + + + + + + Truncating the continued fraction at any point yields a rational approximation for π ; the first four of these are 3 , 22 / 7 , 333 / 106 , and 355 / 113 .
In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. [ 1] For example, is a rational number, as is every integer (e.g., ). The set of all rational numbers, also referred to as " the rationals ", [ 2] the field of rationals[ 3 ...
If the divisor has a fractional part, one can restate the problem by moving the decimal to the right in both numbers until the divisor has no fraction, which can make the problem easier to solve (e.g., 10/2.5 = 100/25 = 4). Division can be calculated with an abacus. [14]
In chemistry, the mole fraction or molar fraction, also called mole proportion or molar proportion, is a quantity defined as the ratio between the amount of a constituent substance, ni (expressed in unit of moles, symbol mol), and the total amount of all constituents in a mixture, ntot (also expressed in moles): [ 1] It is denoted xi (lowercase ...