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" Multiply the numerators together for a new numerator, and the denominators together for a new denominator. "
The Elements of Algebra - Page 38
by Thomas Grainger Hall - 1840
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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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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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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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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 pages
...Muitiplying 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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Smith's Inductive Arithmetic and Federal Calculator on a New, Interesting ...

Roswell Chamberlain Smith - 1855 - 154 pages
...What whole number and fraction does 9 times 1 equal ? A. 1}. 2. To multiply one fraction by another, multiply the numerators together for a new numerator,...and the denominators together for a new denominator. 11. A merchant had ^ of a yard of cloth in one remnant. and in another only \ as much ; what part of...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1856 - 334 pages
...a trip of 205 miles ? A. 13f hours. CASE v. To reduce a compound fraction to a simple one. RULE. 1. Multiply the numerators together for a new numerator,...and the denominators together for a new denominator. CASE III. Q. How is a mixed number reduced to an improper fraction? 1. Why add in the numerator? 2....
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The Principles of Arithmetic ...

Joseph Ray - 1856 - 400 pages
...of a fraction, (Art. 108), these 3 cases may all be performed by this N GENERAL RULE FOR MULTIPLYING FRACTIONS. • Multiply the numerators together for...and the denominators together for a new denominator. Multiply I by 1 5 X 3 = T'5 Ans. DEMONSTRATION. — We can attach no other idea to the product of 4...
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The Art of Computation, Designed to Teach Practical Methods of Reckoning ...

David White Goodrich - Ready-reckoners - 1873 - 220 pages
...of fractions are much simpler, requiring no reduction to a common denominator. For Multiplication, multiply the numerators together for a new numerator,...and the denominators together for a new denominator. For Division, invert the divisor and proceed as in multiplication. Let us perform all these operations...
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