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

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E. & E. Hosford, 1808 - Arithmetic - 172 pages
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Page 57 - MULTIPLICATION OF VULGAR FRACTIONS GENERAL 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.
Page 53 - 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 for a new numerator, and place it over the denominator. 1. Reduce 127T^ to an improper fraction.
Page 46 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 54 - To reduce fractions to a common denominator. RULE. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 120 - If the errors are alike, that is, both greater or both less than the given number, take their difference for a divisor, and the difference of their products for a dividend. But if...
Page 154 - To find the area of a trapezium. RULE. — Multiply the diagonal by the sum of the two perpendiculars falling ?;„ upon it from the opposite angles, and divide the product by 2.
Page 70 - A wall was to be built 700 yards long in 29 days. Now, after 12 men had been employed on it for 11 days, it was found that they had completed only 220 yards of the wall. It is required...
Page 55 - Го reduce a fraction of one denomination to the fraction of another, but greater, retaining the same value. RULE. Reduce the given fraction to a compound one by comparing it with all the denominations between it and that denomination you would reduce it to ; then reduce that compound fraction to a simple one, by Case V.
Page 63 - 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.
Page 86 - Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the equated time, or that required.

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