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

T. Allman, 1832 - 208 pages
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### Contents

 PART 1 Tables 13 Addition of several Denomi Fellowship 19 Reduction 88 Double Rule of Three 92 Simple Interest 98
 The Double Rule of Three 110 Addition 116 Contracted Multiplication 112 Extraction of the Square 129 PART IV 158 APPENDIX 176

### Popular passages

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.