The Tutor's Assistant: Being a Compendium of Arithmetic and a Complete Question-book, to which is Added an Appendix on Circulating Decimals...

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T. Allman, 1832 - 208 pages
 

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Page 98 - 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 103 - 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 156 - ... under its respective term ; observing to carry an unit for every 12, from each lower denomination to its next superior.
Page 86 - Add the several parts of the result together, and if it agrees with the given sum it is right. EXAMPLES. 1. A schoolmaster, being asked how many scholars he had, said, If I had as many, half as many, and one quarter as many more, I should have 264: how many had he?
Page 124 - RULE 1. Point every third figure of the cube given, beginning at the unit's place ; seek the greatest cube to the first point, and subtract it therefrom ; put the root in the quotient, and bring down the figures in the next point to the remainder for a RESOLVE NII.
Page 91 - I. When it is required to find how many of the first sort of coin, weight or measure, mentioned in the question, are equal to a given quantity of the last.
Page 92 - A man is to travel from Boston to a certain place in 12 days, and to go but 3 miles the first day, increasing every day by an equal excess, so that the last day's journey may be 58 miles : what is the daily increase, and how many miles distant is that place from Boston ? Ans.
Page 46 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 122 - RULE. Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator. If the fraction be a surd, (ie) a number whose root can never be exactly found, reduce it to a decimal, and extract the root from it.
Page 125 - To extract the Square Root of a Vulgar Fraction. RULE, Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.

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