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" Multiply the numerators together for a new numerator, and the denominators together for a new denominator. "
Walton and Holmes's Arithmetics: 1st Book- - Page 95
by George Augustus Walton, Stanley Harry Holmes - 1909
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1850 - 402 pages
...multiply the denominator, and the same effect will be produced. Hence, when we multiply two fractions, we multiply the numerators together for a new numerator,...and the denominators together for a new denominator, and this is just what we did in multiplying 150 by f ; it is multiplying by the numera'tor of the multiplier...
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Arithmetic on the Productive System: Accompanied by a Key and ..., Volume 1

Roswell Chamberlain Smith - Arithmetic - 1850 - 314 pages
...How much is f |-J- of 180, or 180 times f|| ? A". 100|. 24. To multiply one fraction by another. — Multiply the numerators together for a new numerator,...and the denominators together for a new denominator. LXII. CASE v. 1. 25. Multiply f|£ by \\\. A. TWfV 26. Multiply !J£f by fj. A. if j&f. 27. How much...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...another, the value of the quotient is found by inverting the terms of the divisor, and then multiplying the numerators together for a new numerator, and the denominators together for a new denominator ; or more briefly, we say Invert the terms of the divisor, and proceed as in multiplication. EXAMPLES....
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1850 - 368 pages
...the complex fraction, when reduced, and place it in aline nrith the numerator, then multiply the two numerators together for a new numerator, and the denominators together for a new denominator. 7 2. Reduce - to. a simple fraction. OPERATION. 3. Reduce 5 to a simple fraction. o 43 OPERATION. |...
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A short and easy course of algebra

Thomas Lund - Algebra - 1851 - 186 pages
...Quotient = . [Exercises K, 21... 2 7, p. 49.] 40. To multiply one fraction by another fraction. RULE. Multiply the numerators together for a new numerator,...and the denominators together for a new denominator. a с aс Thus т xj = TJ - To prove the rule, we have -, to be taken -r times. Now -3 taken a times...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...Multiplying one fraction by another is the same as reducing compound fractions to simple ones. RULE I. — Multiply the numerators together for a new numerator,...and the denominators together for a new denominator; then reduce the fraction to its lowest terms. Or, RULE II. — Cancel all the common factors in the...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...and - of - =- — . Hence, the cc it c tic BULB, TOR THE MULTIPLICATION OF A FRACTION BT A FRACTION. Multiply the numerators together, for a new numerator;...the denominators together, for a new denominator. REMARKS. — 1st. If either of the factors is a mixed quantity, it is best to reduce it to an improper...
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Rational arithmetic

Sarah Porter - Arithmetic - 1852 - 286 pages
...then the expression would be — xr, and you would proceed exactly as you did at first ; rule, — multiply the numerators together for a new numerator,...and the denominators together for a new denominator. Whether the expression be two fractions, thus, - x Q = 7 - 5, or three fractions, thus, - x „ x i...
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School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 344 pages
...ft, (Art. 180), and 5 times /4- is Ji=5 : hence, OPERATION. |xf=H=»s. 4 o _ 0 8 * 5 c ft 0 — g. Multiply the numerators together for a new numerator...and the denominators together for a new denominator. NOTES. — 1. When the multiplier is less than 1, we do not take the whole of the multiplicand, but...
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Introduction to the National Arithmetic on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1871 - 350 pages
...multiply J by £ is to take £ of the multiplicand, J- (Art. 154). Now, to obtain J of £, we simply multiply the numerators together for a new numerator, and the denominators together ibr a new denominator (Art. 138). Therefore, Multiplying one fraction by another is the same as reducing...
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