# A Treatise on Arithmetic

W.J. Gage, 1877 - Arithmetic - 345 pages

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### Contents

 Section 1 33 Section 2 59 Section 3 114 Section 4 122
 Section 5 169 Section 6 219 Section 7 263 Section 8 294

### Popular passages

Page 53 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 52 - A PROPER FRACTION is one in which the numerator is less than the denominator. The value of every proper fraction is less than 1, (Art. 94). The following are proper fractions : 1 1 1 .3 3. £ 9 jS A 2...
Page 249 - At a siege it was found that a certain length of trench could be dug by the soldiers and navvies in 4 days, but that when only half the navvies were present it required 7 days to dig the same length of trench. What proportion of the work was done by the soldiers?
Page 279 - A and B can do a piece of work in 6 days ; A...
Page 240 - Petersburg 920 roubles, which must be remitted through Paris. He pays the requisite sum to his broker, at a time when the exchange between London and Paris is 25-15 francs for £1, and between Paris and St.
Page 159 - ... 60. If a man travel 150 miles in 5 days, when the days are 12 hours long, in how many days of 10 hours each will he travel 500 miles?
Page 244 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 288 - A person invests £1365 in the 3 per cents. at 91 ; he sells out £1000 stock when they have risen to 93J, and the remainder when they have fallen to 85. How much does he gain or lose by the transaction ? 12.
Page 280 - The content of a cistern is the sum of two cubes whose edges are 10 inches and 2 inches, and the area of its base is the difference of two squares whose sides are 1¿ and If feet.
Page 233 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid) pay...