 | Silvestre François Lacroix - Arithmetic - 1825 - 394 pages
...must be represented simply by the division of ad by bc ; which gives r— . Hence the following rule : Multiply the numerator of the dividend by the denominator of the divisor, and tlie denominator of tlie dividend by the numerator of the divisor ; tlie first product unll be... | |
 | Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...Hence the following rule : Multiply the numerator of the dividend by tlie denominator of Ihe divisor, and the denominator of the dividend by the numerator of the divisor ; the first product will be the numerator of the quotient, and tlie second -will be its denominator.... | |
 | Warren Colburn - Algebra - 1825 - 400 pages
...c , bc — • is r part of — - Am. — . ad 6 r ad ad Hence, <o divide a fraction by ajraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. Or more generally, when the divisor... | |
 | Ferdinand Rudolph Hassler - Arithmetic - 1826 - 224 pages
...deduced the following rule : 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 Jirst gives the numerator, the second the denominator of the result. To prove this, we need only... | |
 | Ferdinand Rudolph Hassler - Arithmetic - 1826 - 232 pages
...the two first propositions repecting fractions, of § 38, from which is deduced the following rule : 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 first gives the numerator,... | |
 | Martin Ruter - Arithmetic - 1828 - 180 pages
...FRACTIONS. RULE. Reduce compound fractions to simple ones, and mixed numbers to equivalent fractions; then multiply the numerator of the dividend by the denominator...the dividend by the numerator of the divisor, for th« denominator; the fractions thus formed will be the answer. EXAMPLES. 1. Divide 4 by f. Thus, 4... | |
 | Warren Colburn - Algebra - 1828 - 330 pages
...— and £- is -,bad ad ad o part of *£. ^w. 6_£. ad ad Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. Or more generally, when ihe divisor... | |
 | Warren Colburn - 1829 - 258 pages
...purpose is effected, by multiplying the numerator of the dividend by the denominator of the divisor, and the 'denominator of the dividend by the numerator of the divisor. Thus in the third example ; multiplying the numerator of 2 by 5 and the denominator by 1, it becomes... | |
 | Martin Ruter - Arithmetic - 1831 - 190 pages
...FRACTIONS. HULR. Reduce compound fractions to simple ones, and mix* ed numbers to equivalent fractions; then multiply the numerator of the dividend by the denominator...divisor, for a new numerator, and the denominator ol the dividend by the numerator of the divisor, for the de nominator; the fractions thus formed will... | |
 | Thomas Conkling (W.) - Arithmetic - 1831 - 302 pages
...VULGAR FRACTIONS. RULE. Prepare the fractions, if need be, as before directed in multiplication; then, multiply the numerator of the dividend by the denominator of the divisor, for a new numerator; and then multiply the denominator of the dividend, by the numerator of the divisor, for a new denominator.... | |
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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. 
