 | Peter Nicholson - 1809 - 426 lapas
...where the fractions can be divided in that manner, as it is by far the readiest method. PROBLEM XI. To divide one fraction by another. Invert the divisor, and proceed as in multiplication; EXAMPLE L Ditlde § by §. Answer, £ X |=T*. EXAMPLE II. Divide $ of a pound by f of a... | |
 | Olinthus Gregory - 1838 - 448 lapas
...denominator. (The product is evidently smaller than either factor when each is less than unity.) 4. To divide one fraction by another, invert the divisor,...quotient is always greater than the dividend when the divisof is less than unity.) Examples 1. Multiply | by 2, and divide f by 5. 3 X 2 = * = I = 1 1, and... | |
 | Thomas Grainger Hall - 1840 - 266 lapas
...=- and -f . 1 a + 26 a + 36 Product~ (a + 26) (a + 36) ~ a'+ 5ab + 66s ' 39. To find the quotient of one fraction by another, Invert the divisor and proceed as in multiplication." т, .» aj с For if = x and -=y ; and .-. a = bx and с = Ay ; .: ad = bdx and cb = bdy ; bdx _ad... | |
 | Osman Call - 1842 - 210 lapas
...£f by f Ans. 6. Multiply 8£ by 6£. 4ns. 53£. 7. Multiply 8/T by 1 155T90V Ans. 9444f ££f . X. TO DIVIDE ONE FRACTION BY ANOTHER. Invert the divisor, and proceed as in multiplication. 1. Divide £ by f. OPERATION. f Xf=if=3, Ans. This process deserves the careful attention of the pupil.... | |
 | Harvey Goodwin - 1846 - 500 lapas
...understand by the term an algebraical operation of which multiplication in arithmetic is the type. 37. To divide one fraction by another, invert the divisor and proceed as in multiplication. Since to divide is the inverse of to multiply, it follows ab that to divide by - is the same thing... | |
 | Peter Nicholson, Joseph Gwilt - 1848 - 750 lapas
...examples, when the fractions can be divided in that manner, as it is by far the readiest method. PROBLEM XL To divide one fraction by another. Invert the divisor, and proceed as in multiplication. EXAMPLE I. Divide £ by j- . Answer, gx $ = |f K\ AMPLE II. Divide ^ of a pound by | of a shilling,... | |
 | John William Colenso - 1849 - 262 lapas
...a-6 3 _ 3 (a + 6) (a - 6) = 3_(a* - Ь') ^ X' e + d X с - d X 2 ~ 2 (c + d) (c - d) 2 (c* - d3) 83. To divide one fraction by another, invert the divisor and proceed as in Multiplication. Suppose that we have to divide -¡ by - : let \ = x, - = y; :.a=bx, c = dy; bd , . x ас , ad a but... | |
 | Archibald Montgomerie - 1857 - 116 lapas
...*. (1'.) (f + ? )6i (13.) ( ^ + 1 + ^ ) x LCM of denominators. Ans. 1 la. DIVISION OF FRACTIONS. 39. To divide one fraction by another. Invert the divisor, and proceed as in Multiplication. EXERCISES. 5 ~ 10' ,, , 3a 9a z (L> T -*- T7i Ans- 5^' (2.) ^ * £ ¥ (3.) .y * Jf I H- i. . . *.... | |
 | Olinthus Gregory - 1863 - 482 lapas
...denominator. (The product is evidently smaller than either factor when each is less than unity.) , 4. To divide one fraction by another, invert the divisor,...proceed as in multiplication. (The quotient is always creater than the dividend when the divisor is less than unity.) Examples 1. Multiply f by 2, and divide... | |
 | Isaac Todhunter - 1863 - 302 lapas
..., \xy x + y)' __--_-- bc ac ab a) \ a + b + c XVIII. Division of Fractions. 148. Rule for dividing one fraction by another. Invert the divisor and proceed as in Multiplication. 149. The following is the usual demonstration of the Rule. Suppose we have to divide r- by ; put... | |
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To divide one fraction by another, invert the ' divisor, and proceed as in multiplication. 
