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In a complex fraction, either the numerator, or the denominator, or both, is a fraction or a mixed number, [22] [23] corresponding to division of fractions. For example, / / and () / are complex fractions. To interpret nested fractions written "stacked" with a horizontal fraction bars, treat shorter bars as nested inside longer bars.
For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...
Addition of fractions is much simpler when the denominators are the same; in this case, one can simply add the numerators while leaving the denominator the same: + = +, so + = + =. [ 63 ] The commutativity and associativity of rational addition is an easy consequence of the laws of integer arithmetic. [ 64 ]
This template builds an alternative form of common or mixed fractions, using a vinculum (horizontal line), for scientific and mathematical text.It takes one, two or three parameters: the optional integer (may be signed), the optional numerator and the required denominator; in this order.
However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduced to lowest terms , thereby selecting unique representatives from the ...
For mixed fractions, in some contexts (like link targets) a "+" is generated between the whole number part and fraction part. If this is not desirable, put the whole number part outside the template, and put a non-breaking space between when the spacing is desirable. For example: "33 {{frac|1|3}}".