 If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.  Higher Book - Page 71by William Seneca Sutton - 1896Full view - About this book
 | Charles Davies - Arithmetic - 1846 - 370 pages
...equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If loth terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1 . Multiply the numerator and denominator of |- by 7. 5 5 x 7 35... | |
 | Charles Davies - Arithmetic - 1847 - 368 pages
...equal to the decrease from multiplying the denominator : hence we have, PROPOSITION V. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1. Multiply the numerator and denominator of y by 7 : this gives yx7=ff.... | |
 | Conley Plotts - Arithmetic - 1848 - 276 pages
...both multiplied by the same quantity, the quotient remains the same, (page 44) ; therefore, if the NUMERATOR and DENOMINATOR of a fraction be multiplied by the SAME NUMBER, the VALUE of the fraction will remain unaltered, since there is no difference in the quantities. On this principle we may multiply... | |
 | Charles Davies - Arithmetic - 1848 - 372 pages
...equal to the decrease from multiplying the denominator: hence we have, PROPOSITION V. If both terms of a fraction be multiplied by the same number, the value of the fraction imll remain unchanged. ' EXAMPLES. 1. Multiply the numerator and denominator of y by 7: this gives... | |
 | Daniel Adams - Arithmetic - 1848 - 194 pages
...2x3 = 6, and 5 X 3 = 15 ; it will become -f^. 18. Is the fraction f equal to -fa ? 19. Then, if the numerator and denominator of a fraction be multiplied by the same number, is the value of the fraction altered ? ANS. It is not, because one term of the fraction is increased... | |
 | Charles Davies - Arithmetic - 1850 - 412 pages
...equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1. Multiply the numerator and denominator of |- by 7. ^ T , 5 5 X... | |
 | Charles Davies - 1852 - 344 pages
...hence, the value of the fraction ia not changed ; therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Multiply the numerator a.nd denominator of f by 1 : 7X7 — 49 2.... | |
 | William Scott - Arithmetic - 1854 - 232 pages
...reduction can be made by dividing both terms by their greatest common measure. The terms being divided by the same number, the value of the fraction is not changed (Art. 70. c.) ; and the terms are rendered prime to each other. (Art. 62.) A fraction, the terms of... | |
 | William Smyth - Algebra - 1855 - 370 pages
...demon•etrating certain properties in relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be •changed. Let the proposed fraction be designated by -, and let n be any number whatever.... | |
 | 1856 - 418 pages
...relating to Vulgar Fractions. 10. PRINCIPLE 1. — If the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction is not altered, that is, the valuĞ of the fraction remains the ваше ai before ; and if the numerator... | |
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