The American Tutor's Guide: Being a Compendium of Arithmetic. In Six Parts ...

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E. & E. Hosford, 1808 - Arithmetic - 172 pages
 

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Page 53 - MULTIPLICATION OF VULGAR FRACTIONS. RULE.—Reduce compound fractions to single ones, and mixed numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for a new denominator. EXAMPLES.
Page 59 - RULE—Divide as in whole numbers, and from the right hand of the quotient, point off as many places for decimals as the decimal places in the dividend exceed those in the divisor. If there
Page 44 - Then multiply the second and third terms together, and divide the product by the first. The quotient will be the fourth term or answer, in the same name
Page 52 - fraction of any greater denomination of the same kind. RULE — Reduce the given quantity to the lowest term mentioned, for a numerator ; then reduce the integral part to the same term, for a denominator, which will be the fraction required. EXAMPLES.
Page 49 - To reduce a mixed number to an improper fraction. RULE.—Multiply the whole number by the denominator of the fraction, and to the product add the numerator ; under which
Page 165 - If the country which supplies the river Po with water be 380 miles long, and 120 broad, and the whole land upon the surface of the earth be 62,700,000 square miles, and if the quantity of water discharged by the rivers into the sea be every where proportional to the extent of land by which the
Page 50 - To reduce a compound Fraction to a single one. RULE.—Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Page 45 - As I was beating on the forest grounds, Up starts a hare before my two grey-hounds, ; The dogs, being light of foot, did fairly run, Unto her fifteen rods, just twenty-one. The distance that she started up before Was fourscore, sixteen rods just, and no more ; Now this I'd have you unto me declare, How
Page 49 - how many of those parts are contained in the fraction. A vulgar fraction is either proper, improper, compound, or mixed. A proper fraction is when the numerator is less than the denominator, as f, |, ¿^, &c. A
Page 116 - than the given number, take their difference for a divisor, and the difference of their products for a dividend. But if unlike, that is, one too much, and the other too little, then take ™ their sum for a divisor, and the sum of their products for a dividend, the quotient will be the answer

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