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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 - 1860 - 176 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...is divided into ; and the numerator shows how many of those parts are contained in the fraction. 3- A proper fraction is one, whose numerator is less than the denominator; as |, £, £, &G. 4. An improper fraction is one, whose numerator exceeds the denominator ; as -J,...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...is divided into ; and the numerator shows how many of those parts are contained in the fraction. 3. A proper fraction is one, whose numerator is less than the denominator ; as |, £, £, &cc. 4. An improper fraction is one, whose numerator exceeds the denominator; as-f,...
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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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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...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1837 - 266 pages
...without a cipher or ciphers annexed. Vulgar Fractions are either proper, improper, compound or 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...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 pages
...the integer, or whole number, is divided. The Numerator shows how many of these parts are taken. 1. A proper fraction is one, whose numerator is less than the denominator ; as |. 2. An improper fraction is one, whose numerator exceeds or is equal to the denominator ; as...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1841 - 324 pages
...without a cipr. or ciphers annexed. Vulgar fractions are either proper, improper, compoin or 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,...
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...the integer, or whole number, is divided. The Numerator shows how many of these parts are taken. 1. A proper fraction is one, whose numerator is less than the denominator ; as ^. 2. An improper fraction is one, whose numerator exceeds or is equal to the denominator ; as...
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The elements of arithmetic. [With] Key

Charles Bathurst (schoolmaster.) - 1842 - 158 pages
...Improper. A Proper Fraction is one whose numerator is less than its denominator, as, f , §, -}1(, &c. An Improper Fraction is one whose numerator is equal to, or, greater than, its denominator, as, -f, -J, 2. A Compound Fraction is a fraction of a fraction, as, | of £ ( where...
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Introduction to the National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1842 - 184 pages
...parts are taken. The Denominator shows into how many parts the integer, or whole number, is divided. 1. A proper fraction is one, whose numerator is less than the denominator ; as \. 2. An improper fraction is one, whose numerator exceeds or is equal to the denominator ; as...
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