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" An Improper Fraction is one whose numerator is equal to or greater than its denominator ; as, f , -J. "
An Arithmetic for Preparatory Schools, High Schools, and Academies - Page 38
by Charles Austin Hobbs - 1889 - 343 pages
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - Mechanical engineering - 1849 - 286 pages
...In the same way j indicates that 1 is divided into five equal parts, and is read, one-fifth of nne. A proper fraction is one whose numerator is less than its denominator, as J . An improper fraction is one whose numerator is equal to or greater than its denominator ; as j,...
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An Elementary and Practical Arithmetic

James B. Dodd - Arithmetic - 1850 - 278 pages
...value is, consequently, less than a unit or w£oZe one. Thus ^, f , f , are proper fractions. § !)O. An improper fraction is one whose numerator is equal to, or greater than, its denominator; and whose value is, accordingly, equal to, or greater than, a unit or whole one. Thus § is an improper...
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A New System of Arithmetic on an Improved Plan

Charles Guilford Burnham - 1850 - 350 pages
...subdivided ? 1. A Proper Fraction is one whose numerator is less than the denominator, as ^, ^, ^, etc. 2. An Improper Fraction is one whose numerator is equal to, or greater than the denominator, as |, -|, y, etc. 3. A Compound Fraction is a fraction of a fraction, as ^ of f of...
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Arithmetic on the Productive System: Accompanied by a Key and ..., Volume 1

Roswell Chamberlain Smith - Arithmetic - 1850 - 314 pages
...LXI. 1. A VULGAR OR COMMON FRACTION is one, whose denominator and numerator are both expressed. 2. A PROPER FRACTION is one whose numerator is less than its denominator ; consequently its value is less than unity ; as, |, f , 4, <fec. 3. AN IMPROPER FRACTION is one, whose...
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An Elementary and Practical Arithmetic

James B. Dodd - Arithmetic - 1850 - 276 pages
...the denominator are together called the terms of the fraction. Proper and Improper Fractions. § 89. A proper fraction is one whose numerator is less than its denominator; and whose value is, consequently, fess than a unit or tcAofe o««. Thus £, f , f , are proper fractions....
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The Western Practical Arithmetic ...: Containing a Great Variety of ...

Arithmetic - 1851 - 260 pages
...shows how many of those parts are to be taken. Fractions are either proper, improper, or compound. A proper fraction is one whose numerator is less than its denominator, as J- or j. An improper fraction is one whose numerator is greater than its denominator, as f or J. A...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...compound, and complex. A proper fraction is one whose numerator is less than the denominator ; as, f . An improper fraction is one whose numerator is equal to, or greater than, the denominator ; as, f , f . • * The word vulgar here means common, and IB employed in this connection...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...eighth of five, or five eighths of one. -^ is read one seventh of nine, or nine sevenths of one. 77. A proper fraction is one whose numerator is less than its denominator, as f , f-, |. 78, An improper fraction is one whose numerator is equal to or greater than its denominator,...
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Text-book of Arithmetic: For the Use of Teachers : Including All the ...

John Hunter - Arithmetic - 1852 - 184 pages
...23-J may be expressed in the purely fractional form 4/. Moreover, 1 may be expressed by I, 4) i> &c A Proper Fraction is one whose numerator is less than...£ . An Improper Fraction is one whose numerator is not less than its denominator, as £, L-8, y. A Mixed Number consists of a whole number and a fraction,...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...or unit is divided, and the numerator how many of these parts are represented by the fraction. 99. A. proper fraction is one whose numerator is less than its denominator, as, a—b 7 5+5' or 8' 100. An improper fraction is one whose numerator is equal to, or greater than its...
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