The New Federal Calculator, Or Scholar's Assistant

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Lippincott, Grambo & Company, 1854 - Arithmetic
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Page 125 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 132 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 157 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. 6. If the extremes be 5 and 605, and the number of terms 151, what is the common difference?
Page 73 - ... multiply the second and third terms together, and divide the product by the first for the answer, which will always be of the same denomination as ftie third term.
Page 20 - When the multiplier is a composite number, (or exactly equal to the product of any two figures in the multiplication table ; — RULE. — Multiply first by one of those figures, and that product by the other, the last product will be the answer.
Page 126 - To find the least common multiple or denominator. RULE. Divide the given denominators by any number that will divide two or more of them without a remainder, and set the quotients and the undivided numbers underneath.
Page 146 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Page 72 - Staling. 1. Place that term in the third place which is of the same name or kind with that in which the answer is required. 2. Consider whether the answer ought to be greater or less than the third term.
Page 157 - In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.
Page 159 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1; the quotient will be the sum of the series required.

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