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A stiver is estimated at 2 cents; and a florin or guilder at 40

cents.

L

30 Gross 3 Florins

2 Rix Dollars

1 Florin,

1 Rix Dollar,

1. Gold Ducat.

Accounts in Great Britain, Ireland, and the British West Indies, are kept in pounds, shillings, and pence; but the value of a pound is different in different places.

Examples.

1. What is the value of £365 14s. 8d. Sterling, in Federal money? £ £ s. d. 1: 365 14 8:: 4 44 4: 1625 31 8 2. Reduce £70 Irish, to Federal money.

$cts. m. $ cts.m.

Ans.

Ans. $311 60cts. 3. What number of milreas of Portugal are equal to Ans. 429 milreas 298+ reas.

Ans. 2831

532 dollars 33 cents? 4. How many rubles of Russia, at 66 cents each, are equal to 1869 dollars? rubles. 5. In 165 guilders of Holland, how many dollars? Ans. $64 35cts. 6. If I had 280 dollars 58 cents 5 mills, what number of marks banco of Hamburgh should I receive for the same? Ans. 837+marks banco. 7. Bring 562 livres of France to Federal money. Ans. $103 97cts. 8. Reduce 463 dollars, to reals plate of Spain.

Ans. 4630 reals plate.

To change current money into banco, and banco into current money, say, as 100, with the agio added to it, is to 100, so is any given sum current money, to its value in banco.-And, as 100 is to 100 with the agio added to it, so is any given sum banco, to its value in current money.

9. What must be paid in Philadelphia for an invoice of goods, charged at 591 florins 17 stivers, allowing the exchange at 40 cents per florin, or 2 cents per stiver, and advancing on the invoice 60 per cent.? Ans. $378 78cts.+

10. Hamburgh is indebted to Britain 2464 marks current money: for how many marks may Britain draw on the bank, the agio being 25 per cent. ?

Ans. 1971 marks 3sch. 23phen. 11. What Sterling must be paid in London, to receive in Paris 2000 crowns; exchange 321d. per crown? Ans. £270 16s. 8d.

12. In 1676 dollars 6 rials, how much Sterling; exchange at 36d. Sterling per piastre? Ans. £314 78. 3d. 13. How much Sterling money is equivalent to 3940 pezzos 15 sols of Genoa; exchange at 54d. Sterling per pezzo? Ans. £886 13s. 41d.

14. In 2586 rubles, how many pounds Sterling; exchange at 4s. 3d. Sterling per ruble? Ans. £549 10s. 6d. 15. A merchant in London remits to his correspondent at Petersburgh £450 15s. Sterling; exchange, 34s. 6d. Flemish per pound Sterling for Amsterdam, and the exchange thence at 50 stivers per ruble: how many rubles must the correspondent receive? Ans. 1866ru. 10 copecs. 16. In £813 3s. 6d. Irish, how much Sterling at par? Ans. £750 12s. 6d. Ster.

17. If exchange from London to Amsterdam be 33s. 6d. per pound Sterling; and if exchange from London to Paris be 321d. per crown; what must be the rate of exchange from Amsterdam to Paris, in order to be on par with the other two? Ans. 54,7d. Flemish per crown.

18. If exchange from Paris to London be 321d. Sterling per crown; and if exchange from Paris to Amsterdam be 547d. Flemish per crown; what must be the rate of exchange between London and Amsterdam, in order to be on par with the other two? Ans. 33s. 6d.

19. If exchange from Amsterdam to Paris be 54,7d. Flemish per crown; and if exchange from Amsterdam to London be 33s. 6d. Flemish per pound Sterling; what must be the rate of exchange between Paris and London, in order to be on par with the other two?

Ans. 321d. Sterling per crown. 20. London was ordered to remit to Paris 1000 crowns, at 32d. Sterling per crown, and to draw for the value upon

Amsterdam at 36s. 6d. Flemish per pound Sterling; but when the order came up, bills on Paris were at 321d. Sterling per crown: what must be the rate of exchange with Amsterdam, to compensate the advance on the remittance? Ans. 36s. 225d.

21. London was ordered to remit, 600 ducats to Venice, at 51d. Sterling per ducat, and to draw for the value upon Spain, at 42d. Sterling per piastre; but when the order came to hand, bills on Venice were at 53d.: at what rate of exchange must London draw upon Spain, to compensate the advance upon the remittance? Ans. 4311d.

VULGAR FRACTIONS.

A VULGAR FRACTION is a part of a whole number, and is read by first mentioning the upper part of the fraction, and then the lower, thus:, one-sixth; 7, seven-eighths.

The upper part of the fraction is called the numerator, and shows the part of a whole number expressed by the fraction; the lower number is called the denominator, and shows the number of such parts contained in a whole number.

Vulgar fractions are found under four different situations; namely, proper, improper, compound, and mixed. A proper fraction has its numerator not greater than its denominator; as, 10, 13.

9

An improper fraction has its numerator greater than its denominator; as, 25, 37.

A compound fraction is expressed by a fraction of another fraction; as, of of of.

A mixed number is a whole number, with a fraction following it; as, 71, 87.

A mixed fraction has a fraction attached either to its numerator or denominator.

Questions.

What is a vulgar fraction; and how is it to be read?

What part of a fraction is called the numerator, and what does it show?

What part of a fraction is called the denominator, and what does it show?

Vulgar fractions are found under four different situations: name them.

What is a proper fraction?

What is an improper fraction?

What is a compound fraction?

What is a mixed fraction?

REDUCTION OF VULGAR FRACTIONS.
Case 1.

To reduce fractions to their lowest terms.

Rule.

Divide the numerator and denominator continually by any number that will divide them both without a remainder: when they cannot both be divided by the same number without a remainder, that is their lowest term.

2.

To reduce a mixed number to an improper fraction.

Rule.

Multiply the whole number by the denominator of the fraction, to which add the numerator, and place the product over the denominator, for a new numerator.

Case 3.

To reduce an improper fraction to a whole or mixed number.

Rule.

Divide the numerator by the denominator, and the product will be a whole number; if there be any remainder, set it over the given denominator, for the numerator of the fraction.

Case 4.

To reduce a compound fraction to a single fraction.

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