 | James Bryce - 1837 - 322 σελίδες
...denominator divides the value of the fraction. 78. III. If the terms of a fraction be multiplied or divided by the same quantity, the value of the fraction is not changed. Let T be the fraction, and ж its value, so that -=- = я.' о о then, if the numerator be multiplied... | |
 | Richard W. Green - 1839 - 156 σελίδες
...answer, the same quantity as the numerator. We have also shown that where both terms of a fraction are multiplied by the same quantity, the value of the fraction is not altered. By these two principles, we obtain the following rule for reducing a complex fraction to a... | |
 | Benjamin Naylor - 1850 - 334 σελίδες
...is one of those parts called? 5 is equal to how many twelfths? Ans. -i x4=14fj ; hence we see that if the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction will not be altered. ADDITION OF FRACTIONS. 1. Add J, j, I, and f.... | |
 | Thomas Lund - 1851 - 186 σελίδες
...therefore т is equal to the ¿th part of a. 34. // the numerator and denominator of a fraction be Ъoth multiplied by the same quantity, the VALUE of the fraction is not altered. „, a 2a 3a пa _ 2a . .» , , l hus T = — j- = -у- = &c. = —r . For —т- signifies... | |
 | Thomas Lund - 1856 - 198 σελίδες
...a terms (Art. 26), and 1 + 1 + &c. to a terms is a, therefore т is equal to the 6tt part of a. 34. If the numerator and denominator of a fraction be both multiplied by the same quantity, the VALusof the fraction is not altered. „, a 2я Зa „ na _, 2a . .,, ж, ^ , Thus 6 = 26 = з6 =... | |
 | 1856 - 418 σελίδες
...perpetually kept in mind in the whole of our operations 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 valu« of the fraction remains the ваше... | |
 | William Alfred Browne - 1863 - 486 σελίδες
...get the fraction % or one foot ; bnt one foot is equal in length to -Jf or twelve iuches. 123. If tbe numerator and denominator of a fraction be both multiplied by the same number, then the numerator of the original fraction will bear the same proportion to its denominator... | |
 | Robert Potts - 1876 - 389 σελίδες
...numerator and the suppressed denominator of the decimal fraction are multiplied by 10, 100, 1000, &c. : and if the numerator and denominator of a fraction be both multiplied by the same number, the fraction is both multiplied and divided by that number, and therefore remains unaltered... | |
 | Sir Thomas Muir - 1878 - 378 σελίδες
...symbols, f = f . Similarly we may show that | = T*a, or H, or ££ ..... ; and, generally, it is true that if the numerator and denominator of a fraction be both multiplied by the same number the magnitude of the fraction is unaltered. For, taking as an example the multiplier 7, each... | |
 | James Bates Thomson - 1878 - 322 σελίδες
...Cancelling these common factors, the fraction l$abcx $c becomes - . Now since both terms have been divided by the same quantity, the value of the fraction is not changed. (Art. 167, Prin. 3.) And since these terras have no common factor, it follows that — — are the... | |
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If the numerator and the denominator of a fraction are both multiplied or divided by the same quantity, the value of the fraction is not changed. 
