# Walkingame's Tutor's assistant, revised and modernized by E. Lethbridge

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Page 37 - 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 37 - 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, then reduce the new fraction to its lowest term by Case I.
Page 90 - 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 109 - 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 52 - Sir," said I, after puzzling a long time over "more requiring more and less requiring less" — "will you tell me why I sometimes multiply the second and third terms together and divide by the first — and at other times multiply the first and second and divide by the third?" "Why, because more requires more sometimes, and sometimes it requires less — to be sure. Haven't you read the rule, my boy?" " Yes, sir, I can repeat the rule, but I don't understand it.
Page 113 - In any Geometrical Progression, not proceeding from unity, the ratio being given, to find any remote term, without producing all the intermediate terms. RULE. Proceed as in the last, only observe that every product must be divided by the first term.
Page 94 - The top of a castle from the ground is 45 yards high, and is surrounded with a ditch 60 yards broad ; what length must a ladder be to reach from the outside of the ditch to the top of the castle ? Ans.
Page 15 - Days in each Month. Thirty days hath September, April, June, and November ; February hath twenty-eight alone, All the rest have thirty and one ; Except leap-year, and then's the time February's days are twenty-nine.