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There are three signs to consider in a fraction: the sign preceding the fraction, the sign of the numerator, and the sign of the denominator. Rule 1. Any two of the" three signs may be changed without changing the value of the fraction.
Complete School Algebra - Page 156
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages

New School Algebra

George Albert Wentworth - Algebra - 1898 - 407 pages
...numerator and denominator : " ' . ' 159. There are three signs to consider in a fraction, the sign before the fraction, the sign of the numerator, and the sign of the denominator. any two of the three signs may be changed without changing the value of the fraction. The sign of a...

A Treatise on Chemistry and Chemical Analysis: Arithmetic, elementary ...

Chemistry - 1900 - 530 pages
...99. The three signs of a fraction are: the sign before the dividing line, which affects the entire fraction; the sign of the numerator; and the sign of the denominator. When any one of these signs is omitted, it is understood to be plus. Any two signs of a fraction may...

An Algebra for High Schools and Academies

Louis Parker Jocelyn - Algebra - 1902 - 458 pages
...value of the fraction is not changed. 247. PRINCIPLE 2. Any two of the three signs in a fraction, ie, the sign of the fraction, the sign of the numerator, and the sign of the denominator, may be changed without affecting the value of the fraction. Let the student prove this Principle by...

A Textbook on Metallurgy of Gold, Silver, Copper, Lead, and Zinc, Volume 1

International Correspondence Schools - Arithmetic - 1902 - 794 pages
...531. The three signs of a fraction are: the sign before the dividing line, which affects the entire fraction; the sign of the numerator; and the sign of the denominator. * When any one of these signs is omitted, it is understood to be plus. Any two signs of a fraction...

Essentials of Algebra: Complete Course (an Adequate Preparation for the ...

John Charles Stone, James Franklin Millis - Algebra - 1905 - 792 pages
...algebraic signs of a fraction. In every fraction there are three signs to consider ; the sign before the fraction, the sign of the numerator, and the sign of the denominator. о _i_j о Thus, +-r-^; — ,^.; — — 5; etc. When a fraction is standing ; « > -т t ' — о...

Elementary Algebra

George Albert Wentworth - Algebra - 1906 - 440 pages
...Зж8 - 47 ж2 - 45ж + 18 33' 169. There are three signs to consider in a fraction : the sign before the fraction, the sign of the numerator, and the sign of the denominator. Since J-5|. -=.а._.•.. (p. 46,§ Щ any two of the three signs may be changed without changing the...

Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - Arithmetic - 1906 - 578 pages
...36. The three signs of a fraction are : the sign before the dividing line, which affects the entire fraction; the sign of the numerator; and the sign of the denominator. When any one of these signs is omitted, it is understood to be plus. Any two signs of a fraction may...

First Course in Algebra

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1910 - 374 pages
...+ 5 64 x8 + 1 ' 8 с4 -10 с' + 12 с -15 1+8 x + 16 x2 62. Changes of sign in a fraction. The sign of a fraction is the plus or minus sign placed before...of the numerator, and the sign of the denominator. Therefore + ±=+4; ; -±f=-(-4)=+4. Or, in general terms, + — 7 = + — ^ = ? = 7 • + b — b +o...