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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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Mathematics for Common Schools: A Manual for Teachers, Including Definitions ...

John Henry Walsh - 1896 - 282 pages
...taken. A fraction indicates division ; the numerator being the dividend and the denominator the divisor. The Value of a Fraction is the quotient of the numerator divided by the denominator. Fractions are divided into two classes — Common and Decimal. A Common Fraction is one in which the...
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A Common School Arithmetic

Bothwell Graham - Arithmetic - 1895 - 240 pages
...fraction is an indicated division. The numerator is the dividend and the denominator the divisor. 183. The value of a fraction is the quotient of the numerator divided by the denominator. 184. Every fractional process has its rationale in some one of the following principles : PRIN. 1....
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Bradbury's New Elementary Arithmetic: Comprising Oral and Written Work

William Frothingham Bradbury - Arithmetic - 1895 - 200 pages
...divisioi (Art. 56), 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, ¥ = 12 + 4 = 3. (b.) Multiplying the numerator multiplies the fraction, dividing the numerator...
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Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...(§ 246). 261. The methods of multiplying and dividing by a fraction may be deduced, as follows : 1. The value of a fraction is the quotient of the numerator divided by the denominator (§ 239, I). Hence, 2. The numerator alone is as many times the value of the fraction, as there are...
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Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...division (Art. 68), 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, ^ = 1 2 -f- 4 = 3. (b.) Any change in the numerator causes a like chant/e in the value of the...
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The Williams & Rogers Mental Arithmetic ...

James M. Cook - 1897 - 216 pages
...one-half), 9f, 18}-f are mixed numbers. IS. An Integer is a whole number. Thus, 2, 5 and 9 are integers. 14. The Value of a Fraction is the quotient of the numerator divided by the denominator. Thus, the value of f is 3 .-4- 4, or f of a unit. 15. A fraction expresses unexecuted division. Thus,...
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Grammar School Algebra

George Edward Atwood - 1900 - 276 pages
...quantity. 164. An Improper Fraction is a fraction which can be reduced to an entire or mixed quantity. 165. The Value of a Fraction is the quotient of the numerator divided by the denominator. 166. The Sign of a Fraction is the sign written before the fraction. Fractions, like entire quantities,...
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Heath's Complete Practical Arithmetic

Charles Edward White - Arithmetic - 1901 - 472 pages
...fraction is indicated division, the numerator being the dividend, and the denominator the divisor. 125. The Value of a Fraction is the quotient of the numerator divided by the denominator. Write in figures : 7. Four sevenths. 10. Seventeen eighteenths. 8. Five eighths. 11. One twenty-fourth....
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The Model Elementary Arithmeti:c: Oral and Written, Part 2

Edward Gideon - Arithmetic - 1902 - 182 pages
...Huudredths ? Thousandths ? 8. In I how many hundredths? Thousandths? Tenthousandths? 375. Principle. The value of a fraction is the quotient of the numerator divided by the denominator. Written Exercises. 376. Example 1. — Change | to an equivalent decimal. SOLUTION. EXPLANATION. —...
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...denominator to the divisor, as -. о 231. The Terms of a fraction are the numerator and the denominator. 232. The Value of a fraction is the quotient of the numerator divided by the denominator. Since the divisor multiplied by the quotient equals the dividend, bx - = a. о 233. The Reciprocal...
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