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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 ... - Σελίδα 49
των Jeremiah Day - 1827 - 332 σελίδες
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - 1864 - 322 σελίδες
...indicated but not performed, the numerator being the dividend, and the denominator the divisor. Hence, (a) The value of a fraction is the quotient of the numerator, divided by the denominator ; thus, -\f- = 12 -f- 4 = 3 ; and, ..., (b) Any change in the NUMERATOR causes a LIKE change in the...

The Rudiments of Written Arithmetic: Containing Slate and Black-board ...

Horatio Nelson Robinson - 1866 - 200 σελίδες
...indicate division, the numerator answering to the dividend, and the denominator to the divisor. Hence, 86. The Value of a fraction is the quotient of the numerator divided by the denominator. 1. What is 1 half of 8? ANALYSIS. It is the quotient of 8 divided by 2, which is 4; or, it is a number,...

Intermediate Arithmetic: For Use in the Common Schools and Academies of the ...

Paul Allen Towne - 1867 - 240 σελίδες
...(2.) An improper fraction is one whose numerator is equal to or greater than the denominator. (3.) The value of a fraction is the quotient of the numerator divided by the denominator EXERCISES. 1 Copy upon your slates and read the following expressions: f = l; 3 = 1; | = 1; * = !;....

An Elementary Arithmetic

George Payn Quackenbos - 1867 - 148 σελίδες
...To reduce an improper fraction to a whole or mixed number, divide the numerator by the denominator. "When the numerator is equal to the denominator, the value of the fraction is 1. 5 — 1. When the numerator is greater than the denominator, the value of the fraction is greater...

Arithmetical Analysis, Or Higher Mental Arithmetic for Advanced Classes

James Bates Thomson - 1867 - 204 σελίδες
...°ft A mixed number is a whole number and a fraction written together; as, 4f, 25}£. Note 24.—Tlie value of a fraction is the quotient of the numerator divided by the denominator. Hence, If the numerator and denominator are equal, the value is a unit or one. Thus, J = l, f = 1,...

The Elements of Written Arithmetic: Combining Analysis and Synthesis ...

James Stewart Eaton - 1868 - 200 σελίδες
...denominator to the divisor. That is, a fraction may be regarded as an expression of division. Hence, The VALUE of a fraction is the QUOTIENT of the numerator divided by the denominator, as f = 9 -^ 3 = 3. It follows from this that the GENERAL PRINCIPLES of DIVISION (Arts. 85, 86, and...

A Practical Business Arithmetic: For Common Schools and Academies. Including ...

Whitman Peck - 1868 - 304 σελίδες
...have different denominators ; as, i, f , I are Like fractions ; J, §, f- are Unlike. Art. 89. — The Value of a fraction is the quotient of the numerator divided by the denominator ; as, the value of f is 2 ; of f is 1. The value of a proper fraction is less than 1, and therefore...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 358 σελίδες
...1st When the numerator is less than the denominator, the value of the fraction is less than 1. 2d. When the numerator is equal to the denominator, the value of the fraction is equal to 1. 3d. When the numerator is greater than the denominator, the value of the fraction is greater...

New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - 1869 - 332 σελίδες
...to the dividend, and the denominator to the divisor. Hence, the GENERIC. 1. The value expressed by a fraction is the quotient of the numerator divided by the denominator. Thus, £ of 1 inch = \n ....... i-ii'"""---! I 13 = \ of 2 inches = "- ...... i. By Art. 71-3, it follows,...

New Rudiments of Arithmetic: Combining Mental and Slate Exercises for ...

James Bates Thomson - 1872 - 236 σελίδες
...you call 4|, ;f , 9f ? Why ? 5. What do you call $Z, % ? Why ? 14. What is the value of a fraction ? The Value of a Fraction is the quotient of the numerator divided by the denominator. Thus, the value of 1 half is 1^-2; of 2 thirds, is 2-7-3; 0f 4 fourths, is 4^-4, or 1 ; of 6 thirds,...




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