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" When the numerator is less than the denominator, the fraction is called a proper fraction ; when the numerator is equal to or larger than the denominator, the fraction is called an improper fraction ; when a fraction is joined with a whole number, the... "
A Mental Arithmetic, Upon the Inductive Plan - Page 66
by Benjamin Greenleaf - 1860 - 156 pages
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 402 pages
...numerator, because it numbers the parts, or designates how*many are expressed by the fraction. 108. When the numerator is less than the denominator, the fraction is called a proper fraction. Thus, £, f , |, &c., are proper fractions. When the numerator is equal to, or greater than the denominator,...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 354 pages
...numerator, because it numbers the parts, or designates how many are expressed by the fraction. 1O8. When the numerator is less than the denominator, the fraction is called a proper fraction. Thus, £, f , |, &c., are proper fractions. When the numerator is equal to, or greater than the denominator,...
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The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - Arithmetic - 1853 - 330 pages
...denominator, is called THE VALUE of the fraction, \° = 4 value. 6. When the numerator of a fraction is less than the denominator, the fraction is called a PROPER fraction. AH remainders in Division are Proper fractions, as £, f, C3 c 2 7 9 113 °T, °TT' To"' To"o, To"oo*...
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A Mental Arithmetic Upon the Inductive Plan: Being an Advanced Intellectual ...

Benjamin Greenleaf - Arithmetic - 1858 - 186 pages
...fourths. f nine eighths. £ one fifth. U eleven twelfths. f two fifths. |f thirteen nineteenths. NOTK. — The figure or figures above the short horizontal line...when a fraction is joined with a whole number, the expression is called a mixed number. 1. What kind of a fraction is \ 1 What is the 2 called ? What...
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A Mental Arithmetic Upon the Inductive Plan: Being an Advanced Intellectual ...

Benjamin Greenleaf - Arithmetic - 1859 - 168 pages
...three sevenths. f three fourths. f- nine eighths. | one fifth. -££ eleven twelfths. | two fifths. |f thirteen nineteenths. NOTE — The figure or figures...when a fraction is joined with a whole number, the expression is called a mixed number. 1. What kind of a fraction is J ? What is the 2 called ? What...
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Intellectual Arithmetic, Or, an Analysis of the Science of Numbers: With ...

Charles Davies - Arithmetic - 1859 - 186 pages
...fraction ^, into how many equal parts is the unit divided ? How many parts are taken ? * SUGGESTIONS. — When the numerator is less than the denominator, the fraction is called & proper fraction. When the numerator is greater than the denominator, the fraction is called an improper...
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The American Intellectual Arithmetic: Containing an Extensive Collection of ...

John Fair Stoddard - Arithmetic - 1866 - 184 pages
...When the numerator is less than the denominator, the value is less than a unit, and the expression is called a proper fraction. When the numerator is equal to, or greater than the denominator, the value is equal to, or greater than a unit, and the expression is...
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A Mental Arithmetic, on the Inductive Plan: Being an Advanced IntellectuaL ...

Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...the.-e equal parts have been taken. The numerator and denominator are called the terms of the fraction. When the numerator is less than the denominator, the...denominator, the fraction is called an improper fraction. A fraction with a whole number is called a mixed number. 1. What kind of a fraction is J- ? What is...
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The junior student's algebra. [With] Answers to the examples

Alexander Wilson (M.A.) - 1879 - 228 pages
...the fraction - -, the numerator a + x is supposed ct ~~ '& to be divided by the denominator, a - x. When the numerator is less than the denominator, the...is called a proper fraction. When the numerator is greater than the denominator, and the division can be actually performed, either with or without a...
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The National Question Book: A Graded Course of Study for Teachers and Those ...

Edward Richard Shaw - Examinations - 1887 - 360 pages
...expressed by fractions with the numerator less than the denominator arc properly fractions. Hence such a fraction is called a proper fraction. When the numerator is equal to or greater than the denominator it exEresses a unit or more than a unit and is not properly a fraction;...
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