Here the fractions are prepared : s of a Cwt is reduced into lbs., the same denomination as the other term. TI rest are made improper fractions. The stating will appear from the Rule of Proportion. In multiplying, the numerators and denominators are cancelled, as directed in Multiplication. The product dū is in the same denomination as the 3d term was left in-pounds. This product is reduced to its proper value. EXERCISES. 162. If of an ounce cost }} of a £, what cost 1 ounce ? Answer, £1.5s. 8d. 163. How many yards of Stuff, 1 a yard wide, are equal to 361 yards, of wide ? Answer, 544 yards. 164. Suppose 61 yards cost 18s., what cost 94 yards ? Answer, £1. 55. 7{d.'s 165. If 3} ounces of Silver cost 197 shillings, what cost 29% ounces? Answer, £8. 9s. 4 d. 166. Bought of a Cwt. for £14}, what cost 7} Cwt. ? Answer, £118. 6s. 8d. 167. If of a gallon of Wine cost £, what will g of a tun cost? Answer, £140. 168. If 9 men can perform a piece of work in 154 days, in what time would 23 men do the same ? Answer, 61 days. 169. 1f 8{ lb. of Tobacco are sold for 22 shillings, what cost 1 lb. ? Answer, 2s. 8 d. ; 170. Paid £31 for 2 yards, what would 17 yards cost? Answer, £27. 13s. 64d. 171. A lends B £35} for 61 months; how long ought B to lend A £124, to ite the kindness? Answer, 18 mos. 22 days 172. If 154 gallons of Beer cost $1$, what is that per pint? Answer, 2d. 173. What length of Cloth 14 yard wide, is equivalent to 201 yards of 34 wide ? Answer, 53 yds. 1 qr. } 174. If 1 yard of Broad Cloth cost 15 shillings, what wil] 4 pieces, each containing 27} yards, cost? Answer, £85. 10s. 11 d. 175. If I have 71Cwt. carried for 8s. 7{d., what weight can I have carried for £516? rer, 94 Cwt. 2 gr. 171b.lfii 59 DECIMAL FRACTIONS. Decimal Fractions are such as have 10, 100, 1000, &c. for their denominators; but are usually expressed by writing the numerator only, the understood denominator being always ten, or some power of ten, whence its name, (decem). 5 75 327 1875 The denominator of every decimal fraction is an unit, with as many ciphers as there are figures in the decimal — thus, võ 100, 1000, 10000, &c. are written with a point before them, as •5, • 75, .327, · 1875; and are read, 5 tenths, 75 hundredths, 327 thousandths, 1875 ten thousandths, respectively. Ciphers on the right-hand of decimals make no alteration in their value, for .5, 50, 500, &c. are decimals, having the same value, being each equal to }; but if ciphers are placed on the left-hand, they decrease the value in a tenfold proportion-thus, .5, 05, 005, are 5 tenth parts, 5 hundredth parts, and 5 thousandth parts. A mixed number is composed of a whole number and a decimal, the figures after the point being decimals- 1. Find the sum of 27.6-39. 213—7214.9—417.05and 5.0327. Answer, 7703.7957. 2. Find the sum of 7.015—37.23- -5. 0047-7.91864-396. 243 and 4. 19. Answer, 450. 63134. 3. Find the sum of 12. 47—-3.584-4.75—29.047--1.8236 and 15. 75. Answer, 63. 4246. 4. Find the sum of .05364--293. 147- -84.2361-5.07. 3274 and 15.943. Answer, 398. 77714. 5. Find the sum of 5.714 - 3.456 5437 - 1.04 276.358 and 7.2. Answer, 294. 3117. 6. Find the sum of .005 - - 7. 296 4.318—–.05947– 28. 216 and 7.92. Answer, 47. 81447. 7. Find the sum of 39.33- -4. 2056- 98735 -4.6287347.91 and 3. 004. Answer, 400.06565. 8. Find the sum of 2.53 _.01825 17.5 - .00375 199.25-144--1431. 7256 and 58. 729. Answer, 1853. 7566. |