it take him to spend g of a dollar? How many times is 2 fifths contained in 8 fifths? ÷=? NOTE. If the denominator of the dividend and of the divisor are alike, they may both be disregarded; for, evidently, 2 fifths is contained in 8 fifths just as many times as 2 dollars is contained in 8 dollars, or 2 in 8. 196. Divide by ; by ; 18 by 197. How many times is contained in ? ; by . by 14; by 2; by contained in ? }÷} = √ ÷ 1% = 5 ÷ 2 = § = 2, Ans. 200. How many times is contained in ? }÷}=÷÷13÷ 5 = 3, Ans. How then can one fraction be divided by another? 201. Divide by 1; 1 by 1; 3 by ; & by 1. 202. Divide by ; 1 by ; 33 by ; 41 by ; by 43. tors for the denominator, and division is the reverse of multiplication, therefore, if we divide the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor, we shall have the numerator and denominator respectively of the quotient. The practical difficulty with this method is that the terms of the dividend are rarely both divisible by the respective terms of the divisor. by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient. Hence, To divide a fraction by a fraction, Rule. Invert the divisor and proceed as in multiplication of fractions. NOTE 1. As an integer can be expressed as a fraction by writing 1 under it as its denominator, and a mixed number can be reduced to an improper fraction, this rule covers all possible cases in Division of Fractions. NOTE 3. Such expressions as this in Ex. 221 are called complex fractions. Their reduction consists in performing the division expressed. 235. If 3 pounds of beef cost 433 cents, what is the price of a pound? 236. If a man travels by rail 376 miles in 151⁄2 hours, how far does he travel in an hour? 237. If a man travels at the rate of 273 miles an hour, how long will it take him to travel 7843 miles? 238. Reduce to lowest terms, 14; 76; 48; 17; 13 1; 117; JZ; 7%; ft; ff. 239. Reduce to improper fractions, 4; 7; 63; 87; 5; 94; 11; 3; 10; 12. 240. Reduce to integral, or mixed numbers, ; ; ; 4; ff; 47; 82; ff; 63; 75. 241. Add to; to; to ; to ; to; to; to ; to ; to ; to . 242. Add 5 to 43; 6% to 7%; 34 to 81; 71 to 61; 93 to 35. 243. Subtract from 3. from; from §; ✈ from ; & from ; 244. 82 ? 7 - 44 = ? 124-7=? 93-87 = ? 63-41=? 245. Multiply § by 3; § by 3; 7 by 246. Divide ; 8 by ; 18 by ; by 4; 8 by 3; 4 by ; 3 by ; 7 by ; 33 by 3; by ; by ; by ; % by 2. 247. What part of 6 is 1 part of 6? 248. What part of § is ? NOTE. 3 is what part of 6? 5 is what Ans. . is the product and is one of two factors that produce it. The question is, what is the other factor? 252. If of a ton of hay cost $5, what will 8 tons cost? 253. If of an acre of land cost $ 60, what will 2 acres cost? 254. If 4 barrels of flour cost $36, what will of a barrel cost? 255. If 2 men can do a piece of work in 4 days, how long will it take 1 man to do the same work? 256. If 2 tons of hay cost $40, what will 257. At $72 an acre, what is the value of of a ton cost? of an acre of land? 258. If I own of a farm and sell of my share, how much have I left? |