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" It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient. "
Mathematical Manual for the Use of Colleges and Academies - Page 34
by L. I. M. ChevignÚ - 1807
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The engineers' manual of the Local marine examinations

Thomas Liddell Ainsley - 1880
...divided by the numerator of the divisor. For, reducing the two fractions to a common denominator, we multiply the numerator of the dividend by the denominator of the divisor, and the numerator of the divisor by the denominator of the dividend ; and then dividing the former...
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Howard's Anglo-American Art of Reckoning: The Standard Teacher and Referee ...

C. Frusher Howard - Ready-reckoners - 1884 - 126 pages
...956)╗+9956+f|X&=99,131,892#A. DIVISION OF FRACTIONS. Rule : Reduce whole and mixed numbers to improper fractions, then multiply the numerator of the dividend by the denominator of the divisor and divide the product by the other two terms ; or, Reduce to a common denominator and divide the numerator...
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The Science of Education Designed as a Text-book for Teachers

Francis Bolles Palmer - Child development - 1887 - 341 pages
...take the rule for dividing a fraction by a fraction. It may be stated in any one of three forms: i. Multiply the numerator of the dividend by the denominator of the divisor for a new numerator, and the denominator of the dividend by the numerator of the divisor for a new denominator....
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Commercial Arithmetic

Oscar F. Williams - Arithmetic - 1894 - 307 pages
...Fraction by a Fraction. EXAMPLE.—Divide $ by 4. OPERATION. 4 times ^ or 4- of 4. X 7=^ = , 4 Rules.—1. Multiply the numerator of the dividend by the denominator of the divisor for the numerator of the quotient, and multiply the denominator of the dividend by the numerator of the divisor for the denominator...
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Bradbury's New Elementary Arithmetic: Comprising Oral and Written Work

William Frothingham Bradbury - Arithmetic - 1895 - 182 pages
...denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient. Hence, To divide a fraction by a fraction, Rule. Invert the divisor and proceed as in multiplication...
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Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 377 pages
...denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient. Hence, To divide a fraction by a fraction, Eule. Invert the divisor and proceed as in multiplication...
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Children's Arithmetic by Grades: Essential elements. Fourth book, fifth year

William Estabrook Chancellor - Arithmetic - 1901 - 144 pages
...2╬H"8 = 2¤X´=2l 5 3 5 x 8 40 1 ! B 7 ' 8 7x3 21 - ' When we divide a fraction by a fraction, we multiply the numerator of the dividend by the denominator of the divisor for the numerator of the quotient, and the denominator of the dividend by the numerator of the divisor for the denominator of...
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Arithmetic: Intermediate : Essential Principles

William Estabrook Chancellor - Arithmetic - 1902 - 256 pages
...21:8~21X1~21 5 35x8 40 = 1 1 9 7 : 8 ~ 7 x 3 ~ 21 ~ "' ' When we divide a fraction by a fraction, we multiply the numerator of the dividend by the denominator of the divisor for the numerator of the quotient, and the denominator of the dividend by the numerator of the divisor for the denominator of...
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School Education, Volume 10

Education - 1891
...by another why is the divisor inverted? Ans. — When we divide a fraction by a fraction we commonly multiply the numerator of the dividend by the denominator of the divisor and the denominator of the dividend by the numerator of the divisor. The inversion of the divisor before...
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Mathematics for Business, Science, and Technology

Steven T. Karris - Mathematics - 2001 - 458 pages
...Business, Science, and Technology, Second Edition 1-19 Solution: Solution: For each of (a) , (b) and (c) we multiply the numerator of the dividend by the denominator of the divisor to obtain the numerator of the quotient; then we multiply the denominator of the dividend by the numerator...
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