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" ... arithmetic. It was shown in arithmetic, that a fraction properly expresses a quotient. Algebraic fractions are subject to precisely the same rules as fractions in arithmetic. Many of the operations are more easily performed on algebraic fractions.... "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 83
των Warren Colburn - 1841 - 276 σελίδες
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 400 σελίδες
...of the operations are more easily performed on algebraic fractions. In these, as in arithmetic, it must be kept in mind, that the denominator shows into...for a more full developement of their principles. 3 6 2 t.mes n = n. _ . a 2a Z times -y = —7—. bb aac c tunes — =—T—. ob | of 7 is y 5 for...

Temple's Arithmetick: A Concise Introduction to Practical Arithmetick; in ...

Samuel Temple - 1825 - 118 σελίδες
...the line is called the denominator. The denominator shows the number of parts into which the integer is divided ; and the numerator shows how many of those parts are taken. Fractions are of four kinds, viz, proper, improper, compound, and mixed. 1. A proper fraction...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1826 - 290 σελίδες
...of the operations are more easily performed on algebraic fractions. In these, as in arithmetic, it must be kept in mind, that the denominator shows into...more full developement of their principles. 2 times — = —. 11 11 c times = bo | of 7 is V ; for £ of 7 is !„ and f is 3 times as much. f of, a is...

The Federal Calculator: Or, A Concise System of Practical Arithmetic

William Slocomb - 1828 - 160 σελίδες
...numerator, and that below the line the denominator. c The denominator shows into how many parts an integer is divided, and the numerator shows how many of those parts are meant by the fractions, t Fractions are either proper, improper, compound, or mixed. d A proper fraction...

The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - 1832 - 186 σελίδες
...25J 1. Change i mixed number. As the denominator denotes the number of parts into which the whole, or unit, is divided, and the numerator shows how many of those parts are contained in the Iraction (22), there are evidently as many wholes, as the number of times the numerator...

The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - 1832 - 182 σελίδες
...to a whole or mixed numher. As the denominator denotes the numher of parts into which the whole, or unit, is divided, and the numerator shows how many of those parts are contained in the fraction (22), there are evidently as many wholes, as the numher of times the numerator...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1836 - 286 σελίδες
...of the operations are more easily performed on algebraic fractions. In these, as in arithmetic, it must be kept in mind, that the denominator shows into...the operations on fractions, referring the learner tovthe Arithmetic for a more full developement of their principles. 3 б 2 times J_ = — 11 11 2 times...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1837 - 288 σελίδες
...algebraic fractions. In these, as in arithmetic, it must be kept in mind, that the denominator shews into how many parts a unit is divided ; and the numerator...rules for the operations on fractions, referring the learned to the Arithmetic for a more full developement of their principles. 2 times JL = A. 11 11 a...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1838 - 282 σελίδες
...more easily performed on algebraic fra&thms. . In these, as in arithmetic, it must be kept in jpind, that the denominator shows into how many parts a unit...; and the numerator shows how many of those parts are*used ; or the denominator shows into how many parts the numerator is divided. I shall here briefly...

An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - 1844 - 280 σελίδες
...of the operations are more easily performed on algebraic fractions. In these, as in arithmetic, it must be kept in mind, that the denominator shows into...full developement of their principles. 2 times JL = JL 11 11 i • ' ! ! • ' . 2 times ~ = _?. 6 6 c times - = ^. oo | of 7is V ; for £ of 7 is J,...




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