## The tutor's assistant |

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### Common terms and phrases

added allowing amount annuity annum answer arithmetic barrels Bought bushel called cloth coins common contained continue cost crowns cube root debt decimal demand denominator desire to know difference divided dividend divisions divisor dozen ells equal Examples extract farthings feet figure four fourth fraction gain gallons give given greater gross half hence hogsheads hundred imperial inches interest less London mean MEASURE miles months Multiply NOTE ounce paid payable payment pence penny pension person piece pounds present worth principal purchase quantity quarters question quotient rate per cent rebate receive Reduce remainder RULE share shillings side silver sold sort square root sterling subtract tare term third thousand units weeks weight whole wine yards yearly

### Popular passages

Page 92 - 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 145 - Multiplier. 2. Multiply each term in the Multiplicand (beginning at the lowest) by the feet in the Multiplier...

Page 112 - 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. NOTE.-— If the fraction be...

Page 93 - 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 98 - 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 82 - 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 114 - 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 74 - Ib. at 4s. per Ib., how much of each sort must he take to make the composition worth 8s. per Ib.

Page 93 - 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 terms.

Page 89 - To his executors £50, his youngest son was to have as much more as the executors, and each son to exceed the next younger by as much more ; what was the eldest son's portion? Ans. £25600. The first term, ratio, and number of terms given, to find the sum of all the terms.