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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. "
The Progressive Intellectual Arithmetic, on the Inductive Plan: Being a ... - Page 68
by Horatio Nelson Robinson - 1861 - 176 pages
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High School Arithmetic

James B. Dodd - 1853 - 398 pages
...whose value is, consequently, less than a unit or whole one. Thus J, f, f, are proper fractions. § 9O. 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...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1853 - 622 pages
...of one. 77. A proper fraction is one whose numerator is less than its denominator, as -|, £, |. 78. An improper fraction is one whose numerator is equal to or greater than its denominator, as £, ^, |. OBS. Proper and improper fractions are also called simple fractions....
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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 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 is employed in- this connection to denote the...
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 368 pages
...FRACTION is one whose numerator is less than th& denominator ; thus, f , £ , f are proper fractions. (2) An IMPROPER FRACTION is one whose numerator is equal to or greater than the denominator; thus, £ , f , J are improper fractions. (3) A SIMPLE FRACTION is one whose numerator and denominator...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...A proper fraction is a fraction whose numerator is less than its denominator, as T9T, £, \$ . (d.) An improper fraction is one whose numerator is equal to, or greater than, its denominator, as f , ±f-, Jf 3. (e.) A mixed number is a whole number and a fraction, as 2-j, which...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...proper fraction is a fraction whose numerator is less than its denominator, as T8T, £, -}£. (d.) An improper fraction is one whose numerator is equal to, or greater than, its denominator, as f, lf-, -if 3. (e.) A mixed number is a whole number and a fraction, as 2|, which...
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 740 pages
...FRACTION is one whose numerator is less than the denominator ; thus, f , £, f are proper fractions. (2) An IMPROPER FRACTION is one whose numerator is equal to or greater than the denominator ; thus, £ , £ , % are improper fractions. (3) A SIMPLE FRACTION is one whose numerator and denominator...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...3. 210. A proper fraction is one whose numerator is less than the denominator ; as -f , f, J. 211 1 An improper fraction is one whose numerator is equal to, or greater than, the denominator ; as f, %£, -^. 212. A mixed number is a whole number with a fraction ; as 3£, 16$, 90£. 213. A...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...expressed by the fraction. A proper fraction is one whose numerator is less than the denominator ; as, ^. An improper fraction is one whose numerator is equal to, or greater than, the denominator ; as, f , §. NOTE. — A fraction, strictly speaking, is less than a unit ; hence, if the numerator...
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A New System of Arithmetic, on an Improved Plan, Embracing the Rules of ...

Charles Guilford Burnham - 1857 - 342 pages
...subdivided ? 1. A Proper Fraction is one whose numerator is less than the denominator, as ^, ^, l, etc. 2. .An Improper Fraction is one whose numerator is equal to, or greater than the denominator, as | , |, fy, etc. 3. A Compound Fraction is a fraction of a fraction, as ^ of | of £, etc. 4. A Mixed...
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