Prepare the fractions, if necessary. State the question, &c. as directed in the Rule of Three. Multiply the second and third terms together, and also the first, with its parts inverted; and the product will be the answer, in the same denomination as the third term was left in. Here the fractions are prepared of a Cwt. is reduced into lbs., the same denomination as the other term. The 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 is in the same denomination as the 3d term was left in-pounds. This product is reduced to its proper value. 4,0) 18,0 4s. 6d. Answer, 4s. 6d. EXERCISES. 162. If of an ounce cost of a £, what cost 1 ounce? Answer, £1. 5s. 8d. 163. How many yards of Stuff, a yard wide, are equal to 36 yards, ofwide? Answer, 54 yards. Answer, £1. 5s. 7 d. 164. Suppose 63 yards cost 18s., what cost 9 yards? 165. If 3 ounces of Silver cost 193 shillings, what cost 295 ounces? Answer, £8. 9s. 4 d. § Answer, £118. 6s. 8d. 166. Bought of a Cwt. for £141, what cost 7 Cwt.? 167. If of a gallon of Wine cost £5, what will & of a tun cost? Answer, £140. 168. If 9 men can perform a piece of work in 15 days, in what time would 23 men do the same? Answer, 6 days. 169. 1f 8 lb. of Tobacco are sold for 225 shillings, what cost 1 lb. ? Answer, 2s. 8 d. 23 170. Paid £33 for 23 yards, what would 17 yards cost? Answer, £27. 13s. 6d. 171. A lends B £353 for 6 months; how long ought B to lend A £123, to requite the kindness? Answer, 18 mos. 22 days 172. If 15 gallons of Beer cost £13, what is that per pint? Answer, 2d. 59 173. What length of Cloth 1 yard wide, is equivalent to 20 yards of 3 wide? Answer, 53 yds. 1 qr. 174. If 1 yard of Broad Cloth cost 155 shillings, what will 4 pieces, each containing 27 yards, cost? Answer, £85. 10s. 11 d. 175. If I have 713 Cwt. carried for 8s. 74d., what weight can I have carried for £5? Answer, 94 Cwt. 2 qr. 171b.13 i i 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). The denominator of every decimal fraction is an unit, with as many ciphers as there are figures in the decimal— &c. are written with a point before 5 75 327 1875 thus, 10, 100, 1000, 10000, 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. 003 8 tenths, 72 and 94 hundredths, 47 and 376 thousandths, 1 and 3 thousandths. |