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" As the value of a fraction is the quotient of the numerator divided by the denominator, it is evident, from Art. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 49
by Jeremiah Day - 1827 - 332 pages
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Common School Arithmetic on the Analytic System: With an Appendix of the ...

Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...Let the pupil analyze the following fractions, viz. : A 17. 18. 19. 20. 21. H A H ART. 100. The vaZue of a fraction is the quotient of the numerator divided by the denominator. The value of -| is 2 ; of ^ is 3 ; of ^ is 5. From these examples we see that every fraction indicates...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...answering to the dividend, and the denominator to the divisor. Hence, the 1. The value expressed by a fraction is the quotient of the numerator divided by the denominator. Thus, -J of 1 inch = |cc""'!."'r''i'I'c'.'n ' | = ^ of 2 inches = !;"" ..... l|IHI|H|IIlIll'!cl IIIII...
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The High School Arithmetic: Containig All the Matter Usually Presented in a ...

Philotus Dean - Arithmetic - 1874 - 472 pages
...value, though the terms have different values. VARIATIONS OF THE VALUES OF FRACTIONS. Art. 123. Since the value of a fraction is the quotient of the numerator divided by the denominator, it varies with the relative variations of the terms. (See Art. 79.) Preposition I. — The value of a...
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Introduction to Algebra: Designed for Use in Our Public Schools ... and for ...

Edward Olney - Algebra - 1874 - 228 pages
...then divide (or indicate the division), I shall have m+n times as large a quotient as at first. But the value of a fraction is the quotient of the numerator divided by the denominator. m—n, ,. m*—n* Hence multiplying the numerator of ^— - by m+n 1 have • , m—n which is m+n...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 462 pages
...(174:, III). 191. The methods of multiplying and dividing by a fraction may be deduced as follows : 1st. The value of a fraction is the quotient of the numerator divided by the denominator (168, I). Hence, . 2d. The numerator alone is as many times the value of the fraction, as there are...
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New Elementary Arithmetic: Embracing Mental and Written Exercises, for Beginners

Henry Bartlett Maglathlin - Arithmetic - 1875 - 216 pages
...27. 14J, H, .. *• llf. 25. i, 13J, u, ¥• 28. 17f, -i., S 61J, HPRINCIPLES OF FRACTIONS. 105, 1. The Value of a fraction is the quotient of the numerator divided by the denominator. For :i fraction indicates division, the numerator answering to the dividend, and the denominator to...
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The Indiana School Journal, Volume 20

Education - 1875 - 942 pages
...of the divisor ?" A fraction has been defined, an unperformed division, or division indicated- And the value of a fraction is the quotient of the numerator divided by the denominator. And INDIANA SCHOOL JOURNAL. the numerator is always as many times the value of the fraction as there...
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New Practical Arithmetic: for Grammar Departments

James Bates Thomson - 1875 - 392 pages
...from division, the numerator being the dividend, and the denominator the divisor. (Art. 64, n.) Hence, The value of a fraction is the quotient of the numerator divided by the denominator. Thus, the value of i fourth is i -r 4, or i; of 6 halves is 6-^2, or 3; of 3 thirds is 3-^3, or i....
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The Model Mental Arithmetic: Containing Oral Exercises for Graded and ...

Edgar Arthur Singer - Mental arithmetic - 1876 - 198 pages
...the right of the decimal. II. A decimal fraction is a decimal with the denominator expressed. III. The value of a fraction is the quotient of the numerator divided by the denominator. Exercises. Tell, with your reason, how to express 1. .% as hundredths ; .4! .62. .25 as thousandths;...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 418 pages
...of these equal parts are expressed by the fraction.1 It follows from the definition of a fraction, that when the numerator is equal to the denominator, the value of the fraction is equal to unity ; but if the numerator be less than the denominator, the value of the fraction is less...
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