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" Prom' the very process of dividing each of the parts, that is, of increasing the denominators by multiplying them, it follows, that each denominator must be & factor of the common denominator ; now, multiplying all the denominators together will evidently... "
Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ... - Page 95
by Daniel Adams - 1810 - 180 pages
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A Treatise of Arithmetic: In Whole Numbers & Fractions. Wherein All the ...

Thomas Weston (Master of the Academy at Grenwich.) - Arithmetic - 1729 - 460 pages
...DENOMINATOR, and then managd after the fame Manner. Here we fee 'tis abfolutely neceflary, that we know how to reduce FRACTIONS of different DENOMINATORS, to equivalent FRACTIONS, having a common DENOMINATOR, which is done by Prop. III. of REDUCTION of Fraffions. 'Tis alfb requiiite to know how to reduce COMPOUND...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...and so or. Hence it appears that the word of in a compound fraction signifies multiplication. CASE 5. To reduce fractions of different denominators to equivalent fractions having a common denominator. 45. THB general rule for this purpose may be deri red thus. Let thr 25 1 fractions -, -, and — be...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...one, and that one and the third will be the same as the fraction of two numbers } and so on. CASE VI. To reduce fractions of different denominators to equivalent fractions, having a common denominator. RULE 1.* Multiply each numerator into all the denominators, except its own, for a new numerator ; and all...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...| of \ of 4 to a simple fraction. Ans. 4. 7. Reduce 2 and | of | to a fraction. Ans. |. CASE VI. 2o Reduce Fractions of Different Denominators, to Equivalent Fractions having a Common Denominator. * MULTIPLY each numerator by all the denominators except its own, for the new numerators : and, multiply...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...to a single fraction. Ans. ,*,. 4. Reduce ^ of T7T of T8T of 10 to a single fraction. 1*40 CASE 6. " To reduce fractions of different denominators to equivalent fractions, having a common denominator. RULE 1.* Multiply each numerator into all the denominators, exLet the compound fraction to be reduced be...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - Mathematics - 1814 - 540 pages
...—, -i-, and -^-, to simple fractions. Am. — = т IT т »О 10 5 66 33 iA,- = T,«in=TSS.4f. ISO. To reduce fractions of different denominators to equivalent fractions, having a common denominator. RULE I. Multiply each numerator into all the denominators except its own for a new numerator. II. Multiply...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...ol i of ^ of 4 to a simple fraction. Ans |.. 7. Reduce 2 and f of £ 10 a fraction. Ans. J. CASE VI. To Reduce Fractions of Different Denominators, to Equivalent fractions having a Common Denominator. * MULTIPLY each numerator by all the denominators except its own, for the new numerators : and multiply...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1832 - 538 pages
...fraction. Ana. §||=2/r. 3. Reduce J of 1 off of 12£ to a simple fraction. Ans. ££=1£J. CASE. VI. To reduce fractions of different denominators to equivalent fractions having a common denominator. ROLE I * Multiply each numerator into all the denominators except it* own, for a new pumerator, and...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 286 pages
...become •££, and the •£ will become -^ ; then, -fg taken from -f£ leaves TV. A**- " ' IT 60. From the very process of dividing each of the parts, that...multiplying them, it follows, that each denominator must be a. factor of the common denominator ; now, multiplying all the denominators together will evidently...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 266 pages
...will become •f£, and the •§• will become -fa ; then, -^ taken from -}-£ leaves V SO. From the very process of dividing each of the parts, that...multiplying them, it follows, that each denominator must be a factor of the common denominator ; now, multiplying all the denominators together will evidently...
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