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31. Divide 83 by 4.79. 32. Divide 175 by 2.075. 33. Divide 13 by . 7296. 34. Divide

5 by

47.

Answer, 17.3277, &c. Answer, 84. 3373, &c. Answer, 17. 8179, &c. Answer, . 1063829, &c.

REDUCTION OF DECIMALS.

CASE 1st. To reduce a Vulgar Fraction to a Decimal.

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* The truth of this Rule will appear, by expressing the decimal with its denominator, and reducing it to lowest terms, (Vul. Frac. Case 2d.) thus, TOOT

ī=27= 5= 3.

EXERCISES.

16 ZT

35. Reduce 1 / 2 to a decimal of equal value. Answer, .5 36. Reduce to a decimal of equal value. Answer, . 25 37. Reduce go to a decimal of equal value. Answer, .75 38. Reduce 중 to a decimal of equal value. Answer, .625 39. Reduce is to a decimal of equal value.

Answer, .230769, &c. 40. Reduce ti to a decimal of equal value.

Answer, . 785714, &c. 41. Reduce it to a decimal of equal value. Answer, .12. 42. Reduce 3'z to a decimal of equal value. Answer, .03125. 43. Reduce to a decimal of equal value.

Answer, .592592, &c. 44. Reduce za to a decimal of equal value.

Answer, .069958, &c. 45. Reduce si to a decimal of equal value.

Answer, . 787439, &c. 46. Reduce me to a decimal of equal value.

Answer, .0930012, &c. 47. Reduce it's to a decimal of equal value.

Answer, .0109953, &c. Case 2d. To find the value of a given decimal, in terms of the inferior denomination. Example.

RULE. What is the value of .1275 of

Multiply the decimal by the a pound?

number of parts in the next lower . 1275

denomination, and point off, as 20

in Multiplication; and so proceed 2,5500

through each denomination. 12

Multiply by 20, 12, and 4, the 6,60

same as in Reduction descending,

bringing great names into small. 2,4

Note.-All ciphers on the right Answer, 2s. 6 d. .4

hand may be rejected.

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48. What is the equivalent of .625 of a shilling ? Answer, 71d. 49. What is the equivalent of. 225 of a pound? Answer, 4s. 6d. 50. What is the equivalent of .5728 of a pound troy ?

Answer, 6 oz. 17 dwt. 11 gr. . 328 51. What is the equivalent of .575 of Cwt.

Answer, qrs.

8 lb. 6 oz. 6 drs. . 4 52. What is the equivalent of .375 of a yard of Cloth ?

Answer, 1 qr. 2 nls. 53. What is the equivalent of .0628 of a barrel of Beer ?

Answer, 2 galls. 1 qt. .0432 54. What is the equivalent of .7575 of a pound? Ans. 15s. 11d..2 55. What is the equivalent of .375 of a guinea ? Ans. 7s. 10 d. 56. What is the equivalent of .04535 of a mile ?

Answer, 14 poles, 2 yds. 2 ft. 5 in. 1 b. c. . 128 57. What is the equivalent of .42857 of a month ?

Answer, 1 wk. 4 days, 23 hrs. 59 min. 56 sec. . 544 58. What is the equivalent of .2765 of a year?

Answer, 100 days, 23 hrs. 47 min. 56 sec.

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