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" An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, $, -f . A mixed number is a whole number and a fraction expressed together; as, 4f, 25-ht. "
A treatise on arithmetic. [With] Key - Page 42
by James Thomson - 1880
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - Algebra - 1815 - 338 pages
...pleasure. (3.) A proper fraction is one whose numerator is 7 less than it's denominator, as - . • 8 (4.) An improper fraction is one whose numerator is equal to, or greater than it's denominator, as g ; - . A (5.) A (5.) A compound fraction is a fraction of a fraction, ntco as...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...VlJLGJm FRACTIONS. Vulgar Fractions are those whose numerators and denominators are both expressed. A. proper fraction is one whose numerator is less than its denominator ; as J, |, |, &c. An improper fraction is one whose numerator is greater than its denominator ; as...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...appears, that the fifth part of four times AB, is of the same value as four-fifths of once AB. 3fi. A proper fraction is one whose numerator is less than its denominator ; as f . 37. An improper fraction is one whose numerator is either equal to, or greater than its denominator...
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The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 186 pages
...decimal, with a 1 at the left baud; thus, 0.5 becomes ^, 0.25, Jfo, and 0.005, VULGAR FRACTIONS 215. 1. A proper fraction is one whose numerator is less than its denominator ; as J, }, f , &c. (23). 2. An improper fraction is one whose numerator is greater than its denominator;...
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1832 - 186 pages
...decimal, with a 1 at the left hand; thus, 0.5 becomes ^, 0.25, £fa, and 0.005, VULGAR FRACTIONS 215. 1. A proper fraction is one whose numerator is less than its denominator ; as J, }, | , &c. (23). 2. An improper fraction is one whose numerator is greater than its denominator;...
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Elements of arithmetic, with numerous examples

Richard Mosley - Arithmetic - 1836 - 164 pages
...taken. A proper fraction is one whose numerator is lese than 1 2 3 its denominator, as -, „, „. ODD An improper fraction is one whose numerator is equal to, or greater than, its denominator, as -, - ; where it is plain that - represents the whole of a thing, or unity, . 7 . t. 6 1 1 and -...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1837 - 266 pages
...mixed. 1. A proper Fraction is one whose numerator is less than the denominator; as £, J, J, &-c. 2. An improper Fraction is one whose numerator is equal to, or greater than the denominator ; as f , f , f, &.C. 3. A compound Fraction is a fraction of a fraction ; as i of §...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...Fractions are divided into six kinds ; viz. Proper, Improper, Simple, Compound, Mixed, and Complex. • ' A Proper Fraction is one whose numerator is less than its denominator, as, f . An Improper Fraction is one whose numerator equals or exceeds its, denominator, as, %. - r...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1841 - 324 pages
...mixed. 1. A Proper Fraction is one whose numerator is less than the denominator, as £, J, J, &c. 2. An Improper Fraction is one whose numerator is equal to, or greater than the denominator, as |, f , f, &c. 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 Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1841 - 324 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, |, J, 4, Sit. 3. AN IMPROPER FRACTION is one, whose...
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