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The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not equal) is a proper fraction. When the numerator and denominator of a fraction are equal (for example, 7 / 7 ), its value is 1, and the fraction therefore is improper. Its reciprocal is ...
The order of the natural numbers shown on the number line. A number line is a graphical representation of a straight line that serves as spatial representation of numbers, usually graduated like a ruler with a particular origin point representing the number zero and evenly spaced marks in either direction representing integers, imagined to extend infinitely.
These include improper fractions as well as mixed numbers. Continued fraction: An expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.
Examples of proper fractions are 2/3, –3/4, and 4/9; examples of improper fractions are 9/4, –4/3, and 3/3. improper integral In mathematical analysis, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number, , , or in some instances as both endpoints
This page was last edited on 23 June 2020, at 13:36 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...
The list can go on to include the fractions 1 / 109 , 1 / 113 , 1 / 131 , 1 / 149 , 1 / 167 , 1 / 179 , 1 / 181 , 1 / 193 , 1 / 223 , 1 / 229 , etc. (sequence A001913 in the OEIS). Every proper multiple of a cyclic number (that is, a multiple having the same number of digits ...