Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. Algebra - Page 53by Isaac Todhunter - 1858 - 496 pagesFull view - About this book
| Thomas Liddell Ainsley - 1880 - 866 pages
...taken. Conversely, sine £ = ¿, we see that if the numerator and denominator of a fraction are divided by the same number, the value of the fraction is not altered, since by dividing the numerator of a fraction we decrease its value, but by dividing its denominator... | |
| Adolf Sonnenschein - 1880 - 496 pages
...denominator, the value of the fraction is divided. Hence : By multiplying both numerator and denominator by the same number, the value of the fraction is not altered. Thus -»-=* — « = TV ' 7 7 x о 42 "We have, in fact, six times as many pieces as before, but each... | |
| George Albert Wentworth - Algebra - 1881 - 400 pages
...terms of be the fraction -, b and, conversely, ^ is obtained by dividing by c both terms b ALGEBRA. I. If the numerator and denominator of a fraction be...number, the value of the fraction is not altered. II. If the numerator and denominator be divided by the same number, the value of the fraction is not... | |
| Richard Nelson - 1881 - 312 pages
...expresses the ratio between the two teims. -T\=3 : 12. PRINCIPLES OF FRACTIONS. 197. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unaltered. Let the 1 and 4 of the fraction J be multiplied by 2, and we have $, a fraction... | |
| George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...respectively. 259. If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered. ^.LL ; ' . i .1 1 ; Thus, if the line AB be divided into 5 equal parts at the points C, D, E, and F,... | |
| James Hamblin Smith - 1883 - 466 pages
...(2), .'. a parts are equal to ac subdivisions ; . aac COR. We draw from this proof two inferences : I. If the numerator and denominator of a fraction be...number, the value of the fraction is not altered. II. If the numerator and denominator of a fraction be divided by the same number, the value of the... | |
| James Hamblin Smith - Arithmetic - 1882 - 392 pages
....-. 2 parts are equal to S subdivisions, and •-•! = & We draw from this proof two inferences : be multiplied by the same number, the value of the fraction is not altered. Thus f =-!-!, and -&==-£& II. If the numerator and denominator of a fraction be divided by the same... | |
| George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...respectively. 259. If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered. A\ ii II LJ IL CDEF Thus, if the line AB be divided into 5 equal parts at the points C, D, E, and F,... | |
| Alfred Hiley - Arithmetic - 1882 - 230 pages
...wire at £11 10s. per mile. (717) Prove that if the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered. Eeduce -ffifc, ^ffiz to tneir lowest terms, and express their difference as a decimal. (718) Simplify:... | |
| Richard Oscar T. Thorpe - 1885 - 168 pages
...telegraph-wire, at £11. 10s. per mile. 3. Prove that if the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered. 595 1547 Reduce ....-.. , K^TO to their lowest terms and express their difference as a decimal. 4.... | |
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