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" Multiply together the numerators for a new numerator, and the denominators for a new denominator. "
Adams's New Arithmetic - Page 114
by Daniel Adams - 1830 - 264 pages
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...i_*-V.*2_f_ = 1+* 1 (6) 1-: MULTIPLICATION AND DIVISION OF FRACTIONS. 75. To multiply fractions, multiply the numerators for a new numerator, and the denominators for a new denominator. For, let j- and 3 be two given fractions, and suppose then a=^bx and c=dy, whence ac=bdxy, ,...,.,,,...
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The School and the Schoolmaster: A Manual for the Use of ..., Volumes 1-2

Alonzo Potter - Education - 1842 - 586 pages
...represented on the blackboard thus: fX4=4f S ani* ^e may te macle to observe that he has multiplied the numerators for a new numerator, and the denominators for a new denommator. In this manner he will find that all the rules or principles of fractions are contained...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...above is sufficient for the purposes of this treatise. 5. MULTIPLICATION OF FRACTIONS. RTTLE. Multiply the numerators for a new numerator and the denominators for a new denominator. In the examples under this and the following rules, the results given by the rule are reduced to their...
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The practice and theory of arithmetic

William Frederick Greenfield - 1853 - 228 pages
...numerator and denominator to the required power. For the product of fractions is obtained by multiplying the numerators for a new numerator, and the denominators for a new denominator. When therefore all the numerators are the same, and all the denominators, the numerator and denominator...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 352 pages
...fractions, we have this general RULE. I. Reduce all integers and mixed numbers to improper fractions. II. Multiply together the numerators for a new numerator,...and the denominators for a new denominator. NoTE. Cancel all factors common to numerators and denominators. EXAMPLES FOR PRACTICE. 2. Multiply f by f....
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Elements of algebra

Philip Kelland - 1860 - 308 pages
...Sx'-x+l 3a;" + a;+l x-2-J . x' + 2x-x+lx + 2x' + 1 MULTIPLICATION. 77. PROP. — To multiply fractions: Multiply together the numerators for a new numerator, and the denominators for a new denominator. Let - and - be the fractions, then bd ?x- = — 2< d bd For | x 6 = a (Def ) b -xd = a (De) d .-....
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...derive the following general RULE. I. Reduce all integers and mixed numbers to improper fractions. II. Multiply together the numerators for a new numerator, and the denominators for a new denominator. NOTES. — 1. Cancel nil factors common to numerators anil denominators. 2. If a fraction be multiplied...
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Algebra

Isaac Todhunter - 1860 - 622 pages
...+ b') a'-b' -a'+2ab-b' ab 141. The rule for the multiplication of two fractions is, — multiply the numerators for a new numerator, and the denominators for a new denominator. The following is usually given for a proof. Let j- and -3 be oa two fractions which are to be multiplied...
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The parallel arithmetic

W H. Wingate - 1865 - 150 pages
...making 1 the denominator ; then place them in a line with a multiplication sign between them. Multiply the numerators for a new numerator and the denominators for a new denominator. If any of the numerators and denominators have common factors, divide them by such factors, remembering...
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Walkinghame's [sic] Tutor's assistant; or, Complete arithmetical question ...

Francis Walkingame - 1865 - 222 pages
...VULGAE FEACTIONS. EULE. — Invert the division, and then, (proceeding as in Multiplication), multiply the numerators for a new numerator. and the denominators for a new denominator. EXAMPLE 1. — Divido ^ by . _7_ _...!_ .7- A - I. - 1 4 EXAMPLE 2. — Divide by f . OOQK -IK...
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