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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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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...both terms are divided by 2, the fraction becomes f, whose-. value is' 3 ; that is, 1 1 7 • Since the value of a fraction is the quotient of the numerator divided by the denominator, it follows, that If the numerator and denominator are equal, the value is a unit or one. Thus, f =1, f=l,...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 402 pages
...numerator answering to the dividend, and the denominator to the divisor. (Arts. 67, 105.) Hence, I 1 0. The value of a fraction is the quotient of the numerator divided by the denominator. Thus the value of £ is two ; of j is one ; of £ is one third, &c. Hence, 111. If the denominator...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 354 pages
...numerator answering to the dividend, and the denominator to the divisor. (Arts. 67, 105.) Hence, ] 1O. The value of a fraction is, the quotient of the numerator divided by the denominator. Thus the value of £ is two ; of ^ is one ; of £ is one third, &c. Hence, III, If the denominator...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...fraction which will give the same quotient. Ttai=!2=^=!*2L=!±?,&o. For the quotient in 2 5 Zba 4drx 3+1 each of these instances is 2. 136. As the value of a fraction is the quotient of the nu merator divided by the denominator, it is evident from Art. 128, that when the numerator is equal...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...denominator. Such fractions are called improper fractions because they arc equal to, or exceed unity. When the numerator is equal to the denominator, the value of the fraction is 1 ; in every other case the value of an improper fraction is greater than 1 . The following are improper...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...one, 23 sevenths will make as mnny whole ones as 7 is contained times in 23. And 23-=-7 — 3?. But the value of a fraction is the quotient of the numerator divided ly the denominator. (Art. 185.) Hence, 196. To reduce an improper fraction to a whole, or mixed number....
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Primary Arithmetic, Or, Mental Operations in Numbers: Being an Introduction ...

Daniel Adams - Arithmetic - 1848 - 194 pages
...the denominator may always be considered a divisor. 5. What then is the value of a fraction ? ANS. The value of a fraction is the quotient of the numerator divided by the denominator. 6. Of what is the fraction ^ the quotient ? ANS. The fraction \ is the quotient of 1 divided by 4....
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...numerator of every fraction may be considered as a dividend, of which the denominator is a divisor. 110. The value of a fraction, is the quotient of the numerator divided by the denominator. 6 ali Thus the value of - is 3. The value of -r- is a. 2 o 111. From this it is evident, that whatever...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 434 pages
...whole one, 23 sevenths will make as many whole ones as 7 is contained times in 23. And 23-f-7=3f. But the value of a fraction is the quotient of the numerator divided by the denominator. (Art. 185.) Hence, 196. To reduce an improper fraction to a whole, or mixed number. Divide tlie numerator...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1848 - 356 pages
...as |-fjf,. A fourth part of three dollars, is equal to tl iree fourths of one dollar. 135. The valw. of a fraction, is the quotient of the numerator divided by the denominator. Thus the value of _ is 3. The value of — is o. 2 b From this it is evident, that whatever changes...
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