4. How often will a wheel, of 16 feet and 6 inches circumference, turn round in the distance from Newburyport to Cambridge, it being 42 miles? Anf. 13440 times. 5. In 190080 inches, how many yards and leagues? Anf. 5280yds. and i league. 2. Suppofe your age to be 15y. 19d. 11h. 37m. 45s. how many feconds are there in it, allowing 365 days and 6 hours to the year? Anf. 475047465. 3. How many minutes from the first day of January to the 14th day of Auguft, inclufively? Anf. 325440. 4. How many days fince the commencement of the Chriftian Era ? 5. How many minutes fince the commencement of the American war, which happened on the 19th day of April, 1775? 6. How many feconds between the commencement of the war, April 19th, 1775, and the Independence of the United States of America, which took place the 4th day of July, 1776? Anf. 38102400. 8. LAND or SQUARE MEASURE. 1. In 29 acres, 3 roods, 19 poles, how many roods and perches ? Acr. r. p. 29 3 19 4 119 roods. 40 Anf. 4779 perches. 2. In 1997 poles, how many acres ? Proof. 410)47719 4)119—19p. 2908.37. Anf. 12a. Ir. 37 9. SOLID MEASURE. 1. In 15 tons of hewn timber, how many folid inches ? 4. 1296000 inches. 15 tons. 8640 2. In 9 tons of round timber, how many inches ? Anf. 622080. IO. WINE MEASURE. 1. In 9hhds. 15gal. 39ts. of wine, how many quarts 2. In 12 pipes of wine, how many pints? 9hhds--158. Anf. 12096. 3. In 9758 pints of brandy, how many pipes? Anf. 9p. 1hhd. 22gal. 3qts. 4. In 1008 quarts of cider, how many tons? Anf, 1 ton. II. ALE or BEER MEASURE. 1. In 29bbds. of beer, how many pints? bbds. Proof. 2. In 47bar. 18gal. of ale, how many pints? Anf. 12928. 3. In 36 puncheons of beer, how many butts? 12. DRY MEASURE. Anf. 24 1. In 42 chaldrons of coals, how many pecks? Chaldrons. 42 Proof. 128 32 84 126 1344 bufhels. Any. 5376 pecks. 2. In 75 bushels of corn, how many pints? 3. In 9376 quarts, how many bushels? VULGAR FRACTIONS. 64 64 Anf. 4800. ·Anf. 293. Fractions, or broken numbers, are expreffions for any affignable parts of an unit, or whole number; and are represented by two numbers, placed one above another, with a lae drawn between them, thus, 4, &c. fignifying five eighths, four thirds, that is one and one third, &c. The figure, above the line, is called the pumerator, and that below it, the denominator. The denciniantor (which is the divifor in divifion) fhows how many parts the integer is divided into; and the uumcrator (which is the remainder after divifion) facws fhews how many of those parts are meant by the frac tion. Fractions are either proper, improper, fingle, compound, or mixed. Any whole number may be made an improper fraction, by drawing a line under it, and putting unity, or 1 for a denominator, as 9 may be expreffed fractionwife, thus,, and 12 thus, 2, &c. I 1. A fingle, fimple, or proper fraction is, when the nu merator is lefs than the denominator,as,,,, &c. and is a fimple expreffion for any number of parts of the integer. 2. An improper fraction is, when the numerator exceeds the denominator, as, 3, 4, &c. 8 3. A compound fraction is the fraction of a fraction, coupled by the word of, thus, of 4, 4 of 3 of 7, &c. which are read thus, two thirds of three fourths; one half of three fifths of feven eighths. 4. A mixed number is compofed of a whole number and a fraction, as 7, 35, &c. that is, feven and three fifths, &c. 5. A fraction is faid to be in its least, or lowest terms, when it is expreffed by the leaft numbers poffible. 6. The common measure of two, or more numbers, is that number which will divide each of them, without a remainder: Thus, 5 is the common measure of 10, 26 and 30; and the greatefl number, which will do this, is called the greatest common meafure. 7. A number, which can be measured by two, or more numbers, is called their common multiple; and, if it heale leaft number, which can be fo meafured, it is calle leaf common multiple; thus, 40, 60, 80, 100 are neit of 4and 5; but their leaft common multiple is 20 |